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Finding the Third Proportional to 275,722.50 and 425,808.50

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Solution

The third proportional to 275,722.50 and 425,808.50 is: 657,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.50 : 425,808.50 = 425,808.50 : x
  2. Step 2: Convert to fraction form
    275,722.50/425,808.50 = 425,808.50/x
  3. Step 3: Cross multiply
    275,722.50x = 425,808.50 × 425,808.50
  4. Step 4: Simplify right side
    275,722.50x = 181,312,878,672.25
  5. Step 5: Solve for x
    x = 181,312,878,672.25/275,722.50
  6. Step 6: Final answer
    x = 657,591.89

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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.