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Finding the Third Proportional to 52,628 and 81,470

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Solution

The third proportional to 52,628 and 81,470 is: 126,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,628 : 81,470 = 81,470 : x
  2. Step 2: Convert to fraction form
    52,628/81,470 = 81,470/x
  3. Step 3: Cross multiply
    52,628x = 81,470 × 81,470
  4. Step 4: Simplify right side
    52,628x = 6,637,360,900
  5. Step 5: Solve for x
    x = 6,637,360,900/52,628
  6. Step 6: Final answer
    x = 126,118.43

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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.