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Finding the Third Proportional to 78,464 and 170,748

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Solution

The third proportional to 78,464 and 170,748 is: 371,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,464 : 170,748 = 170,748 : x
  2. Step 2: Convert to fraction form
    78,464/170,748 = 170,748/x
  3. Step 3: Cross multiply
    78,464x = 170,748 × 170,748
  4. Step 4: Simplify right side
    78,464x = 29,154,879,504
  5. Step 5: Solve for x
    x = 29,154,879,504/78,464
  6. Step 6: Final answer
    x = 371,570.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.