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Finding the Third Proportional to 289,915.72 and 442,372.14

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Solution

The third proportional to 289,915.72 and 442,372.14 is: 675,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,915.72 : 442,372.14 = 442,372.14 : x
  2. Step 2: Convert to fraction form
    289,915.72/442,372.14 = 442,372.14/x
  3. Step 3: Cross multiply
    289,915.72x = 442,372.14 × 442,372.14
  4. Step 4: Simplify right side
    289,915.72x = 195,693,109,937.15
  5. Step 5: Solve for x
    x = 195,693,109,937.15/289,915.72
  6. Step 6: Final answer
    x = 675,000.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.