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Finding the Third Proportional to 431,572 and 653,355.50

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Solution

The third proportional to 431,572 and 653,355.50 is: 989,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,572 : 653,355.50 = 653,355.50 : x
  2. Step 2: Convert to fraction form
    431,572/653,355.50 = 653,355.50/x
  3. Step 3: Cross multiply
    431,572x = 653,355.50 × 653,355.50
  4. Step 4: Simplify right side
    431,572x = 426,873,409,380.25
  5. Step 5: Solve for x
    x = 426,873,409,380.25/431,572
  6. Step 6: Final answer
    x = 989,112.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.