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Finding the Third Proportional to 278,053 and 611,402

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Solution

The third proportional to 278,053 and 611,402 is: 1,344,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,053 : 611,402 = 611,402 : x
  2. Step 2: Convert to fraction form
    278,053/611,402 = 611,402/x
  3. Step 3: Cross multiply
    278,053x = 611,402 × 611,402
  4. Step 4: Simplify right side
    278,053x = 373,812,405,604
  5. Step 5: Solve for x
    x = 373,812,405,604/278,053
  6. Step 6: Final answer
    x = 1,344,392.64

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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.