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Finding the Third Proportional to 71,970 and 112,645

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Solution

The third proportional to 71,970 and 112,645 is: 176,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970 : 112,645 = 112,645 : x
  2. Step 2: Convert to fraction form
    71,970/112,645 = 112,645/x
  3. Step 3: Cross multiply
    71,970x = 112,645 × 112,645
  4. Step 4: Simplify right side
    71,970x = 12,688,896,025
  5. Step 5: Solve for x
    x = 12,688,896,025/71,970
  6. Step 6: Final answer
    x = 176,308.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.