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Finding the Third Proportional to 148,718 and 322,708

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Solution

The third proportional to 148,718 and 322,708 is: 700,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,718 : 322,708 = 322,708 : x
  2. Step 2: Convert to fraction form
    148,718/322,708 = 322,708/x
  3. Step 3: Cross multiply
    148,718x = 322,708 × 322,708
  4. Step 4: Simplify right side
    148,718x = 104,140,453,264
  5. Step 5: Solve for x
    x = 104,140,453,264/148,718
  6. Step 6: Final answer
    x = 700,254.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.