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Finding the Third Proportional to 290,611 and 392,518

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Solution

The third proportional to 290,611 and 392,518 is: 530,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,611 : 392,518 = 392,518 : x
  2. Step 2: Convert to fraction form
    290,611/392,518 = 392,518/x
  3. Step 3: Cross multiply
    290,611x = 392,518 × 392,518
  4. Step 4: Simplify right side
    290,611x = 154,070,380,324
  5. Step 5: Solve for x
    x = 154,070,380,324/290,611
  6. Step 6: Final answer
    x = 530,160.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.