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Finding the Third Proportional to 570,456 and 876,908

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Solution

The third proportional to 570,456 and 876,908 is: 1,347,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,456 : 876,908 = 876,908 : x
  2. Step 2: Convert to fraction form
    570,456/876,908 = 876,908/x
  3. Step 3: Cross multiply
    570,456x = 876,908 × 876,908
  4. Step 4: Simplify right side
    570,456x = 768,967,640,464
  5. Step 5: Solve for x
    x = 768,967,640,464/570,456
  6. Step 6: Final answer
    x = 1,347,987.65

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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.