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Finding the Third Proportional to 426,256 and 625,560

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Solution

The third proportional to 426,256 and 625,560 is: 918,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,256 : 625,560 = 625,560 : x
  2. Step 2: Convert to fraction form
    426,256/625,560 = 625,560/x
  3. Step 3: Cross multiply
    426,256x = 625,560 × 625,560
  4. Step 4: Simplify right side
    426,256x = 391,325,313,600
  5. Step 5: Solve for x
    x = 391,325,313,600/426,256
  6. Step 6: Final answer
    x = 918,052.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.