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Finding the Third Proportional to 289,154 and 626,578

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Solution

The third proportional to 289,154 and 626,578 is: 1,357,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,154 : 626,578 = 626,578 : x
  2. Step 2: Convert to fraction form
    289,154/626,578 = 626,578/x
  3. Step 3: Cross multiply
    289,154x = 626,578 × 626,578
  4. Step 4: Simplify right side
    289,154x = 392,599,990,084
  5. Step 5: Solve for x
    x = 392,599,990,084/289,154
  6. Step 6: Final answer
    x = 1,357,753.97

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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.