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Finding the Third Proportional to 152,953.31 and 331,330.50

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Solution

The third proportional to 152,953.31 and 331,330.50 is: 717,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,953.31 : 331,330.50 = 331,330.50 : x
  2. Step 2: Convert to fraction form
    152,953.31/331,330.50 = 331,330.50/x
  3. Step 3: Cross multiply
    152,953.31x = 331,330.50 × 331,330.50
  4. Step 4: Simplify right side
    152,953.31x = 109,779,900,230.25
  5. Step 5: Solve for x
    x = 109,779,900,230.25/152,953.31
  6. Step 6: Final answer
    x = 717,734.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.