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Finding the Third Proportional to 386,473 and 508,211

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Solution

The third proportional to 386,473 and 508,211 is: 668,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,473 : 508,211 = 508,211 : x
  2. Step 2: Convert to fraction form
    386,473/508,211 = 508,211/x
  3. Step 3: Cross multiply
    386,473x = 508,211 × 508,211
  4. Step 4: Simplify right side
    386,473x = 258,278,420,521
  5. Step 5: Solve for x
    x = 258,278,420,521/386,473
  6. Step 6: Final answer
    x = 668,296.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.