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Finding the Third Proportional to 78,614 and 170,516

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Solution

The third proportional to 78,614 and 170,516 is: 369,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,614 : 170,516 = 170,516 : x
  2. Step 2: Convert to fraction form
    78,614/170,516 = 170,516/x
  3. Step 3: Cross multiply
    78,614x = 170,516 × 170,516
  4. Step 4: Simplify right side
    78,614x = 29,075,706,256
  5. Step 5: Solve for x
    x = 29,075,706,256/78,614
  6. Step 6: Final answer
    x = 369,854.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.