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Finding the Third Proportional to 52,869,640.78 and 80,824,045.22

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Solution

The third proportional to 52,869,640.78 and 80,824,045.22 is: 123,559,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869,640.78 : 80,824,045.22 = 80,824,045.22 : x
  2. Step 2: Convert to fraction form
    52,869,640.78/80,824,045.22 = 80,824,045.22/x
  3. Step 3: Cross multiply
    52,869,640.78x = 80,824,045.22 × 80,824,045.22
  4. Step 4: Simplify right side
    52,869,640.78x = 6,532,526,285,522,545
  5. Step 5: Solve for x
    x = 6,532,526,285,522,545/52,869,640.78
  6. Step 6: Final answer
    x = 123,559,119.92

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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.