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Finding the Third Proportional to 129,102,080 and 194,031,488

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Solution

The third proportional to 129,102,080 and 194,031,488 is: 291,615,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,102,080 : 194,031,488 = 194,031,488 : x
  2. Step 2: Convert to fraction form
    129,102,080/194,031,488 = 194,031,488/x
  3. Step 3: Cross multiply
    129,102,080x = 194,031,488 × 194,031,488
  4. Step 4: Simplify right side
    129,102,080x = 37,648,218,335,494,144
  5. Step 5: Solve for x
    x = 37,648,218,335,494,144/129,102,080
  6. Step 6: Final answer
    x = 291,615,892.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.