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Finding the Third Proportional to 440,000 and 686,280

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Solution

The third proportional to 440,000 and 686,280 is: 1,070,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,000 : 686,280 = 686,280 : x
  2. Step 2: Convert to fraction form
    440,000/686,280 = 686,280/x
  3. Step 3: Cross multiply
    440,000x = 686,280 × 686,280
  4. Step 4: Simplify right side
    440,000x = 470,980,238,400
  5. Step 5: Solve for x
    x = 470,980,238,400/440,000
  6. Step 6: Final answer
    x = 1,070,409.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.