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Finding the Third Proportional to 289,341.50 and 442,350.75

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Solution

The third proportional to 289,341.50 and 442,350.75 is: 676,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,341.50 : 442,350.75 = 442,350.75 : x
  2. Step 2: Convert to fraction form
    289,341.50/442,350.75 = 442,350.75/x
  3. Step 3: Cross multiply
    289,341.50x = 442,350.75 × 442,350.75
  4. Step 4: Simplify right side
    289,341.50x = 195,674,186,025.56
  5. Step 5: Solve for x
    x = 195,674,186,025.56/289,341.50
  6. Step 6: Final answer
    x = 676,274.18

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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.