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Finding the Third Proportional to 207,370 and 321,712

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Solution

The third proportional to 207,370 and 321,712 is: 499,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,370 : 321,712 = 321,712 : x
  2. Step 2: Convert to fraction form
    207,370/321,712 = 321,712/x
  3. Step 3: Cross multiply
    207,370x = 321,712 × 321,712
  4. Step 4: Simplify right side
    207,370x = 103,498,610,944
  5. Step 5: Solve for x
    x = 103,498,610,944/207,370
  6. Step 6: Final answer
    x = 499,101.18

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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.