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Finding the Third Proportional to 275,496 and 425,712

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Solution

The third proportional to 275,496 and 425,712 is: 657,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,496 : 425,712 = 425,712 : x
  2. Step 2: Convert to fraction form
    275,496/425,712 = 425,712/x
  3. Step 3: Cross multiply
    275,496x = 425,712 × 425,712
  4. Step 4: Simplify right side
    275,496x = 181,230,706,944
  5. Step 5: Solve for x
    x = 181,230,706,944/275,496
  6. Step 6: Final answer
    x = 657,834.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.