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Finding the Third Proportional to 129,298,239 and 287,294,287

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Solution

The third proportional to 129,298,239 and 287,294,287 is: 638,353,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298,239 : 287,294,287 = 287,294,287 : x
  2. Step 2: Convert to fraction form
    129,298,239/287,294,287 = 287,294,287/x
  3. Step 3: Cross multiply
    129,298,239x = 287,294,287 × 287,294,287
  4. Step 4: Simplify right side
    129,298,239x = 82,538,007,342,838,368
  5. Step 5: Solve for x
    x = 82,538,007,342,838,368/129,298,239
  6. Step 6: Final answer
    x = 638,353,685.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.