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Finding the Third Proportional to 315,806 and 485,423

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Solution

The third proportional to 315,806 and 485,423 is: 746,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,806 : 485,423 = 485,423 : x
  2. Step 2: Convert to fraction form
    315,806/485,423 = 485,423/x
  3. Step 3: Cross multiply
    315,806x = 485,423 × 485,423
  4. Step 4: Simplify right side
    315,806x = 235,635,488,929
  5. Step 5: Solve for x
    x = 235,635,488,929/315,806
  6. Step 6: Final answer
    x = 746,140.00

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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.