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Finding the Third Proportional to 390,117 and 838,431

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Solution

The third proportional to 390,117 and 838,431 is: 1,801,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,117 : 838,431 = 838,431 : x
  2. Step 2: Convert to fraction form
    390,117/838,431 = 838,431/x
  3. Step 3: Cross multiply
    390,117x = 838,431 × 838,431
  4. Step 4: Simplify right side
    390,117x = 702,966,541,761
  5. Step 5: Solve for x
    x = 702,966,541,761/390,117
  6. Step 6: Final answer
    x = 1,801,937.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.