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Finding the Third Proportional to 687,915 and 1,510,330

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Solution

The third proportional to 687,915 and 1,510,330 is: 3,315,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,915 : 1,510,330 = 1,510,330 : x
  2. Step 2: Convert to fraction form
    687,915/1,510,330 = 1,510,330/x
  3. Step 3: Cross multiply
    687,915x = 1,510,330 × 1,510,330
  4. Step 4: Simplify right side
    687,915x = 2,281,096,708,900
  5. Step 5: Solve for x
    x = 2,281,096,708,900/687,915
  6. Step 6: Final answer
    x = 3,315,957.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.