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Finding the Third Proportional to 166,919,506 and 255,335,963

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Solution

The third proportional to 166,919,506 and 255,335,963 is: 390,586,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,919,506 : 255,335,963 = 255,335,963 : x
  2. Step 2: Convert to fraction form
    166,919,506/255,335,963 = 255,335,963/x
  3. Step 3: Cross multiply
    166,919,506x = 255,335,963 × 255,335,963
  4. Step 4: Simplify right side
    166,919,506x = 65,196,454,001,137,368
  5. Step 5: Solve for x
    x = 65,196,454,001,137,368/166,919,506
  6. Step 6: Final answer
    x = 390,586,190.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.