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Finding the Third Proportional to 458,788.50 and 698,298.75

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Solution

The third proportional to 458,788.50 and 698,298.75 is: 1,062,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,788.50 : 698,298.75 = 698,298.75 : x
  2. Step 2: Convert to fraction form
    458,788.50/698,298.75 = 698,298.75/x
  3. Step 3: Cross multiply
    458,788.50x = 698,298.75 × 698,298.75
  4. Step 4: Simplify right side
    458,788.50x = 487,621,144,251.56
  5. Step 5: Solve for x
    x = 487,621,144,251.56/458,788.50
  6. Step 6: Final answer
    x = 1,062,845.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.