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Finding the Third Proportional to 69,700.50 and 108,712.13

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Solution

The third proportional to 69,700.50 and 108,712.13 is: 169,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,700.50 : 108,712.13 = 108,712.13 : x
  2. Step 2: Convert to fraction form
    69,700.50/108,712.13 = 108,712.13/x
  3. Step 3: Cross multiply
    69,700.50x = 108,712.13 × 108,712.13
  4. Step 4: Simplify right side
    69,700.50x = 11,818,326,122.02
  5. Step 5: Solve for x
    x = 11,818,326,122.02/69,700.50
  6. Step 6: Final answer
    x = 169,558.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.