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Finding the Third Proportional to 284,416 and 614,440

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Solution

The third proportional to 284,416 and 614,440 is: 1,327,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,416 : 614,440 = 614,440 : x
  2. Step 2: Convert to fraction form
    284,416/614,440 = 614,440/x
  3. Step 3: Cross multiply
    284,416x = 614,440 × 614,440
  4. Step 4: Simplify right side
    284,416x = 377,536,513,600
  5. Step 5: Solve for x
    x = 377,536,513,600/284,416
  6. Step 6: Final answer
    x = 1,327,409.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.