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Finding the Third Proportional to 175,371 and 386,490

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Solution

The third proportional to 175,371 and 386,490 is: 851,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,371 : 386,490 = 386,490 : x
  2. Step 2: Convert to fraction form
    175,371/386,490 = 386,490/x
  3. Step 3: Cross multiply
    175,371x = 386,490 × 386,490
  4. Step 4: Simplify right side
    175,371x = 149,374,520,100
  5. Step 5: Solve for x
    x = 149,374,520,100/175,371
  6. Step 6: Final answer
    x = 851,762.95

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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.