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Finding the Third Proportional to 275,502 and 425,720

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Solution

The third proportional to 275,502 and 425,720 is: 657,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,502 : 425,720 = 425,720 : x
  2. Step 2: Convert to fraction form
    275,502/425,720 = 425,720/x
  3. Step 3: Cross multiply
    275,502x = 425,720 × 425,720
  4. Step 4: Simplify right side
    275,502x = 181,237,518,400
  5. Step 5: Solve for x
    x = 181,237,518,400/275,502
  6. Step 6: Final answer
    x = 657,844.66

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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.