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Finding the Third Proportional to 148,391 and 321,403

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Solution

The third proportional to 148,391 and 321,403 is: 696,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,391 : 321,403 = 321,403 : x
  2. Step 2: Convert to fraction form
    148,391/321,403 = 321,403/x
  3. Step 3: Cross multiply
    148,391x = 321,403 × 321,403
  4. Step 4: Simplify right side
    148,391x = 103,299,888,409
  5. Step 5: Solve for x
    x = 103,299,888,409/148,391
  6. Step 6: Final answer
    x = 696,133.11

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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.