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Finding the Third Proportional to 497,125 and 702,757.50

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Solution

The third proportional to 497,125 and 702,757.50 is: 993,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,125 : 702,757.50 = 702,757.50 : x
  2. Step 2: Convert to fraction form
    497,125/702,757.50 = 702,757.50/x
  3. Step 3: Cross multiply
    497,125x = 702,757.50 × 702,757.50
  4. Step 4: Simplify right side
    497,125x = 493,868,103,806.25
  5. Step 5: Solve for x
    x = 493,868,103,806.25/497,125
  6. Step 6: Final answer
    x = 993,448.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.