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Finding the Third Proportional to 149,814 and 320,952

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Solution

The third proportional to 149,814 and 320,952 is: 687,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,814 : 320,952 = 320,952 : x
  2. Step 2: Convert to fraction form
    149,814/320,952 = 320,952/x
  3. Step 3: Cross multiply
    149,814x = 320,952 × 320,952
  4. Step 4: Simplify right side
    149,814x = 103,010,186,304
  5. Step 5: Solve for x
    x = 103,010,186,304/149,814
  6. Step 6: Final answer
    x = 687,587.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.