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Finding the Third Proportional to 52,140,800 and 78,882,294

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Solution

The third proportional to 52,140,800 and 78,882,294 is: 119,338,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140,800 : 78,882,294 = 78,882,294 : x
  2. Step 2: Convert to fraction form
    52,140,800/78,882,294 = 78,882,294/x
  3. Step 3: Cross multiply
    52,140,800x = 78,882,294 × 78,882,294
  4. Step 4: Simplify right side
    52,140,800x = 6,222,416,306,702,436
  5. Step 5: Solve for x
    x = 6,222,416,306,702,436/52,140,800
  6. Step 6: Final answer
    x = 119,338,719.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.