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Finding the Third Proportional to 385,982 and 508,701

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Solution

The third proportional to 385,982 and 508,701 is: 670,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,982 : 508,701 = 508,701 : x
  2. Step 2: Convert to fraction form
    385,982/508,701 = 508,701/x
  3. Step 3: Cross multiply
    385,982x = 508,701 × 508,701
  4. Step 4: Simplify right side
    385,982x = 258,776,707,401
  5. Step 5: Solve for x
    x = 258,776,707,401/385,982
  6. Step 6: Final answer
    x = 670,437.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.