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Finding the Third Proportional to 84,134,740.50 and 125,865,784.13

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Solution

The third proportional to 84,134,740.50 and 125,865,784.13 is: 188,295,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134,740.50 : 125,865,784.13 = 125,865,784.13 : x
  2. Step 2: Convert to fraction form
    84,134,740.50/125,865,784.13 = 125,865,784.13/x
  3. Step 3: Cross multiply
    84,134,740.50x = 125,865,784.13 × 125,865,784.13
  4. Step 4: Simplify right side
    84,134,740.50x = 15,842,195,613,401,102
  5. Step 5: Solve for x
    x = 15,842,195,613,401,102/84,134,740.50
  6. Step 6: Final answer
    x = 188,295,530.71

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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.