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Finding the Third Proportional to 154,401.19 and 224,565.75

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Solution

The third proportional to 154,401.19 and 224,565.75 is: 326,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,401.19 : 224,565.75 = 224,565.75 : x
  2. Step 2: Convert to fraction form
    154,401.19/224,565.75 = 224,565.75/x
  3. Step 3: Cross multiply
    154,401.19x = 224,565.75 × 224,565.75
  4. Step 4: Simplify right side
    154,401.19x = 50,429,776,073.06
  5. Step 5: Solve for x
    x = 50,429,776,073.06/154,401.19
  6. Step 6: Final answer
    x = 326,615.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.