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Finding the Third Proportional to 154,335,336,123 and 334,316,428,921

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Solution

The third proportional to 154,335,336,123 and 334,316,428,921 is: 724,185,902,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,123 : 334,316,428,921 = 334,316,428,921 : x
  2. Step 2: Convert to fraction form
    154,335,336,123/334,316,428,921 = 334,316,428,921/x
  3. Step 3: Cross multiply
    154,335,336,123x = 334,316,428,921 × 334,316,428,921
  4. Step 4: Simplify right side
    154,335,336,123x = 111,767,474,646,490,044,956,672
  5. Step 5: Solve for x
    x = 111,767,474,646,490,044,956,672/154,335,336,123
  6. Step 6: Final answer
    x = 724,185,902,296.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.