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Finding the Third Proportional to 409,282 and 875,402

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Solution

The third proportional to 409,282 and 875,402 is: 1,872,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,282 : 875,402 = 875,402 : x
  2. Step 2: Convert to fraction form
    409,282/875,402 = 875,402/x
  3. Step 3: Cross multiply
    409,282x = 875,402 × 875,402
  4. Step 4: Simplify right side
    409,282x = 766,328,661,604
  5. Step 5: Solve for x
    x = 766,328,661,604/409,282
  6. Step 6: Final answer
    x = 1,872,373.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.