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Finding the Third Proportional to 661,376 and 1,432,640

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Solution

The third proportional to 661,376 and 1,432,640 is: 3,103,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,376 : 1,432,640 = 1,432,640 : x
  2. Step 2: Convert to fraction form
    661,376/1,432,640 = 1,432,640/x
  3. Step 3: Cross multiply
    661,376x = 1,432,640 × 1,432,640
  4. Step 4: Simplify right side
    661,376x = 2,052,457,369,600
  5. Step 5: Solve for x
    x = 2,052,457,369,600/661,376
  6. Step 6: Final answer
    x = 3,103,313.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.