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Finding the Third Proportional to 78,748 and 121,604

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Solution

The third proportional to 78,748 and 121,604 is: 187,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,748 : 121,604 = 121,604 : x
  2. Step 2: Convert to fraction form
    78,748/121,604 = 121,604/x
  3. Step 3: Cross multiply
    78,748x = 121,604 × 121,604
  4. Step 4: Simplify right side
    78,748x = 14,787,532,816
  5. Step 5: Solve for x
    x = 14,787,532,816/78,748
  6. Step 6: Final answer
    x = 187,782.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.