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Finding the Third Proportional to 508,140 and 743,124.75

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Solution

The third proportional to 508,140 and 743,124.75 is: 1,086,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,140 : 743,124.75 = 743,124.75 : x
  2. Step 2: Convert to fraction form
    508,140/743,124.75 = 743,124.75/x
  3. Step 3: Cross multiply
    508,140x = 743,124.75 × 743,124.75
  4. Step 4: Simplify right side
    508,140x = 552,234,394,062.56
  5. Step 5: Solve for x
    x = 552,234,394,062.56/508,140
  6. Step 6: Final answer
    x = 1,086,776.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.