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Finding the Third Proportional to 289,417.50 and 412,841.25

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Solution

The third proportional to 289,417.50 and 412,841.25 is: 588,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,417.50 : 412,841.25 = 412,841.25 : x
  2. Step 2: Convert to fraction form
    289,417.50/412,841.25 = 412,841.25/x
  3. Step 3: Cross multiply
    289,417.50x = 412,841.25 × 412,841.25
  4. Step 4: Simplify right side
    289,417.50x = 170,437,897,701.56
  5. Step 5: Solve for x
    x = 170,437,897,701.56/289,417.50
  6. Step 6: Final answer
    x = 588,899.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.