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Finding the Third Proportional to 312,560 and 481,810

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Solution

The third proportional to 312,560 and 481,810 is: 742,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,560 : 481,810 = 481,810 : x
  2. Step 2: Convert to fraction form
    312,560/481,810 = 481,810/x
  3. Step 3: Cross multiply
    312,560x = 481,810 × 481,810
  4. Step 4: Simplify right side
    312,560x = 232,140,876,100
  5. Step 5: Solve for x
    x = 232,140,876,100/312,560
  6. Step 6: Final answer
    x = 742,708.20

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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.