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Finding the Third Proportional to 148,554.63 and 320,209.45

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Solution

The third proportional to 148,554.63 and 320,209.45 is: 690,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,554.63 : 320,209.45 = 320,209.45 : x
  2. Step 2: Convert to fraction form
    148,554.63/320,209.45 = 320,209.45/x
  3. Step 3: Cross multiply
    148,554.63x = 320,209.45 × 320,209.45
  4. Step 4: Simplify right side
    148,554.63x = 102,534,093,870.61
  5. Step 5: Solve for x
    x = 102,534,093,870.61/148,554.63
  6. Step 6: Final answer
    x = 690,211.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.