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Finding the Third Proportional to 129,566,734 and 198,680,646

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Solution

The third proportional to 129,566,734 and 198,680,646 is: 304,661,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,566,734 : 198,680,646 = 198,680,646 : x
  2. Step 2: Convert to fraction form
    129,566,734/198,680,646 = 198,680,646/x
  3. Step 3: Cross multiply
    129,566,734x = 198,680,646 × 198,680,646
  4. Step 4: Simplify right side
    129,566,734x = 39,473,999,094,977,312
  5. Step 5: Solve for x
    x = 39,473,999,094,977,312/129,566,734
  6. Step 6: Final answer
    x = 304,661,527.51

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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.