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Finding the Third Proportional to 78,572.53 and 169,602.61

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Solution

The third proportional to 78,572.53 and 169,602.61 is: 366,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.53 : 169,602.61 = 169,602.61 : x
  2. Step 2: Convert to fraction form
    78,572.53/169,602.61 = 169,602.61/x
  3. Step 3: Cross multiply
    78,572.53x = 169,602.61 × 169,602.61
  4. Step 4: Simplify right side
    78,572.53x = 28,765,045,106.81
  5. Step 5: Solve for x
    x = 28,765,045,106.81/78,572.53
  6. Step 6: Final answer
    x = 366,095.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.