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Finding the Third Proportional to 78,495 and 169,560

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Solution

The third proportional to 78,495 and 169,560 is: 366,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,495 : 169,560 = 169,560 : x
  2. Step 2: Convert to fraction form
    78,495/169,560 = 169,560/x
  3. Step 3: Cross multiply
    78,495x = 169,560 × 169,560
  4. Step 4: Simplify right side
    78,495x = 28,750,593,600
  5. Step 5: Solve for x
    x = 28,750,593,600/78,495
  6. Step 6: Final answer
    x = 366,272.93

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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.