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Finding the Third Proportional to 656,215 and 997,595

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Solution

The third proportional to 656,215 and 997,595 is: 1,516,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,215 : 997,595 = 997,595 : x
  2. Step 2: Convert to fraction form
    656,215/997,595 = 997,595/x
  3. Step 3: Cross multiply
    656,215x = 997,595 × 997,595
  4. Step 4: Simplify right side
    656,215x = 995,195,784,025
  5. Step 5: Solve for x
    x = 995,195,784,025/656,215
  6. Step 6: Final answer
    x = 1,516,569.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.