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Finding the Third Proportional to 154,335,336,642 and 334,316,429,960

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Solution

The third proportional to 154,335,336,642 and 334,316,429,960 is: 724,185,904,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,642 : 334,316,429,960 = 334,316,429,960 : x
  2. Step 2: Convert to fraction form
    154,335,336,642/334,316,429,960 = 334,316,429,960/x
  3. Step 3: Cross multiply
    154,335,336,642x = 334,316,429,960 × 334,316,429,960
  4. Step 4: Simplify right side
    154,335,336,642x = 111,767,475,341,199,579,021,312
  5. Step 5: Solve for x
    x = 111,767,475,341,199,579,021,312/154,335,336,642
  6. Step 6: Final answer
    x = 724,185,904,362.64

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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.