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Finding the Third Proportional to 361,412 and 558,502

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Solution

The third proportional to 361,412 and 558,502 is: 863,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,412 : 558,502 = 558,502 : x
  2. Step 2: Convert to fraction form
    361,412/558,502 = 558,502/x
  3. Step 3: Cross multiply
    361,412x = 558,502 × 558,502
  4. Step 4: Simplify right side
    361,412x = 311,924,484,004
  5. Step 5: Solve for x
    x = 311,924,484,004/361,412
  6. Step 6: Final answer
    x = 863,071.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.