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Finding the Third Proportional to 409,506 and 878,304

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Solution

The third proportional to 409,506 and 878,304 is: 1,883,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,506 : 878,304 = 878,304 : x
  2. Step 2: Convert to fraction form
    409,506/878,304 = 878,304/x
  3. Step 3: Cross multiply
    409,506x = 878,304 × 878,304
  4. Step 4: Simplify right side
    409,506x = 771,417,916,416
  5. Step 5: Solve for x
    x = 771,417,916,416/409,506
  6. Step 6: Final answer
    x = 1,883,776.83

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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.