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Finding the Third Proportional to 315,644 and 425,271

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Solution

The third proportional to 315,644 and 425,271 is: 572,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,644 : 425,271 = 425,271 : x
  2. Step 2: Convert to fraction form
    315,644/425,271 = 425,271/x
  3. Step 3: Cross multiply
    315,644x = 425,271 × 425,271
  4. Step 4: Simplify right side
    315,644x = 180,855,423,441
  5. Step 5: Solve for x
    x = 180,855,423,441/315,644
  6. Step 6: Final answer
    x = 572,972.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.