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Finding the Third Proportional to 152,888.13 and 224,838.38

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Solution

The third proportional to 152,888.13 and 224,838.38 is: 330,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,888.13 : 224,838.38 = 224,838.38 : x
  2. Step 2: Convert to fraction form
    152,888.13/224,838.38 = 224,838.38/x
  3. Step 3: Cross multiply
    152,888.13x = 224,838.38 × 224,838.38
  4. Step 4: Simplify right side
    152,888.13x = 50,552,294,872.64
  5. Step 5: Solve for x
    x = 50,552,294,872.64/152,888.13
  6. Step 6: Final answer
    x = 330,648.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.