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Finding the Third Proportional to 398,334 and 609,117

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Solution

The third proportional to 398,334 and 609,117 is: 931,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,334 : 609,117 = 609,117 : x
  2. Step 2: Convert to fraction form
    398,334/609,117 = 609,117/x
  3. Step 3: Cross multiply
    398,334x = 609,117 × 609,117
  4. Step 4: Simplify right side
    398,334x = 371,023,519,689
  5. Step 5: Solve for x
    x = 371,023,519,689/398,334
  6. Step 6: Final answer
    x = 931,438.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.