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Finding the Third Proportional to 129,679,978.13 and 280,065,423.75

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Solution

The third proportional to 129,679,978.13 and 280,065,423.75 is: 604,847,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,679,978.13 : 280,065,423.75 = 280,065,423.75 : x
  2. Step 2: Convert to fraction form
    129,679,978.13/280,065,423.75 = 280,065,423.75/x
  3. Step 3: Cross multiply
    129,679,978.13x = 280,065,423.75 × 280,065,423.75
  4. Step 4: Simplify right side
    129,679,978.13x = 78,436,641,580,267,072
  5. Step 5: Solve for x
    x = 78,436,641,580,267,072/129,679,978.13
  6. Step 6: Final answer
    x = 604,847,739.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.