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Finding the Third Proportional to 78,487 and 169,610

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Solution

The third proportional to 78,487 and 169,610 is: 366,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,487 : 169,610 = 169,610 : x
  2. Step 2: Convert to fraction form
    78,487/169,610 = 169,610/x
  3. Step 3: Cross multiply
    78,487x = 169,610 × 169,610
  4. Step 4: Simplify right side
    78,487x = 28,767,552,100
  5. Step 5: Solve for x
    x = 28,767,552,100/78,487
  6. Step 6: Final answer
    x = 366,526.33

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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.