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Finding the Third Proportional to 275,539 and 425,585

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Solution

The third proportional to 275,539 and 425,585 is: 657,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,539 : 425,585 = 425,585 : x
  2. Step 2: Convert to fraction form
    275,539/425,585 = 425,585/x
  3. Step 3: Cross multiply
    275,539x = 425,585 × 425,585
  4. Step 4: Simplify right side
    275,539x = 181,122,592,225
  5. Step 5: Solve for x
    x = 181,122,592,225/275,539
  6. Step 6: Final answer
    x = 657,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.