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Finding the Third Proportional to 207,390 and 485,643

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Solution

The third proportional to 207,390 and 485,643 is: 1,137,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,390 : 485,643 = 485,643 : x
  2. Step 2: Convert to fraction form
    207,390/485,643 = 485,643/x
  3. Step 3: Cross multiply
    207,390x = 485,643 × 485,643
  4. Step 4: Simplify right side
    207,390x = 235,849,123,449
  5. Step 5: Solve for x
    x = 235,849,123,449/207,390
  6. Step 6: Final answer
    x = 1,137,225.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.