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Finding the Third Proportional to 426,276 and 656,910

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Solution

The third proportional to 426,276 and 656,910 is: 1,012,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,276 : 656,910 = 656,910 : x
  2. Step 2: Convert to fraction form
    426,276/656,910 = 656,910/x
  3. Step 3: Cross multiply
    426,276x = 656,910 × 656,910
  4. Step 4: Simplify right side
    426,276x = 431,530,748,100
  5. Step 5: Solve for x
    x = 431,530,748,100/426,276
  6. Step 6: Final answer
    x = 1,012,327.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.