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Finding the Third Proportional to 78,424 and 121,528

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Solution

The third proportional to 78,424 and 121,528 is: 188,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,424 : 121,528 = 121,528 : x
  2. Step 2: Convert to fraction form
    78,424/121,528 = 121,528/x
  3. Step 3: Cross multiply
    78,424x = 121,528 × 121,528
  4. Step 4: Simplify right side
    78,424x = 14,769,054,784
  5. Step 5: Solve for x
    x = 14,769,054,784/78,424
  6. Step 6: Final answer
    x = 188,323.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.