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Finding the Third Proportional to 242,877,966.75 and 355,207,926.38

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Solution

The third proportional to 242,877,966.75 and 355,207,926.38 is: 519,489,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,877,966.75 : 355,207,926.38 = 355,207,926.38 : x
  2. Step 2: Convert to fraction form
    242,877,966.75/355,207,926.38 = 355,207,926.38/x
  3. Step 3: Cross multiply
    242,877,966.75x = 355,207,926.38 × 355,207,926.38
  4. Step 4: Simplify right side
    242,877,966.75x = 126,172,670,959,627,424
  5. Step 5: Solve for x
    x = 126,172,670,959,627,424/242,877,966.75
  6. Step 6: Final answer
    x = 519,489,983.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.