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Finding the Third Proportional to 491,460.75 and 660,433.50

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Solution

The third proportional to 491,460.75 and 660,433.50 is: 887,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,460.75 : 660,433.50 = 660,433.50 : x
  2. Step 2: Convert to fraction form
    491,460.75/660,433.50 = 660,433.50/x
  3. Step 3: Cross multiply
    491,460.75x = 660,433.50 × 660,433.50
  4. Step 4: Simplify right side
    491,460.75x = 436,172,407,922.25
  5. Step 5: Solve for x
    x = 436,172,407,922.25/491,460.75
  6. Step 6: Final answer
    x = 887,502.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.