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Finding the Third Proportional to 289,448 and 625,696

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Solution

The third proportional to 289,448 and 625,696 is: 1,352,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,448 : 625,696 = 625,696 : x
  2. Step 2: Convert to fraction form
    289,448/625,696 = 625,696/x
  3. Step 3: Cross multiply
    289,448x = 625,696 × 625,696
  4. Step 4: Simplify right side
    289,448x = 391,495,484,416
  5. Step 5: Solve for x
    x = 391,495,484,416/289,448
  6. Step 6: Final answer
    x = 1,352,558.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.