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Finding the Third Proportional to 390,000 and 840,672

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Solution

The third proportional to 390,000 and 840,672 is: 1,812,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,000 : 840,672 = 840,672 : x
  2. Step 2: Convert to fraction form
    390,000/840,672 = 840,672/x
  3. Step 3: Cross multiply
    390,000x = 840,672 × 840,672
  4. Step 4: Simplify right side
    390,000x = 706,729,411,584
  5. Step 5: Solve for x
    x = 706,729,411,584/390,000
  6. Step 6: Final answer
    x = 1,812,126.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.