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Finding the Third Proportional to 78,047,793 and 115,940,281.50

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Solution

The third proportional to 78,047,793 and 115,940,281.50 is: 172,229,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,047,793 : 115,940,281.50 = 115,940,281.50 : x
  2. Step 2: Convert to fraction form
    78,047,793/115,940,281.50 = 115,940,281.50/x
  3. Step 3: Cross multiply
    78,047,793x = 115,940,281.50 × 115,940,281.50
  4. Step 4: Simplify right side
    78,047,793x = 13,442,148,874,299,242
  5. Step 5: Solve for x
    x = 13,442,148,874,299,242/78,047,793
  6. Step 6: Final answer
    x = 172,229,711.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.