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Finding the Third Proportional to 78,480 and 169,596

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Solution

The third proportional to 78,480 and 169,596 is: 366,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480 : 169,596 = 169,596 : x
  2. Step 2: Convert to fraction form
    78,480/169,596 = 169,596/x
  3. Step 3: Cross multiply
    78,480x = 169,596 × 169,596
  4. Step 4: Simplify right side
    78,480x = 28,762,803,216
  5. Step 5: Solve for x
    x = 28,762,803,216/78,480
  6. Step 6: Final answer
    x = 366,498.51

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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.