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Finding the Third Proportional to 289,341.75 and 442,351.13

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Solution

The third proportional to 289,341.75 and 442,351.13 is: 676,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,341.75 : 442,351.13 = 442,351.13 : x
  2. Step 2: Convert to fraction form
    289,341.75/442,351.13 = 442,351.13/x
  3. Step 3: Cross multiply
    289,341.75x = 442,351.13 × 442,351.13
  4. Step 4: Simplify right side
    289,341.75x = 195,674,517,788.77
  5. Step 5: Solve for x
    x = 195,674,517,788.77/289,341.75
  6. Step 6: Final answer
    x = 676,274.74

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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.