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Finding the Third Proportional to 124,312 and 272,135

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Solution

The third proportional to 124,312 and 272,135 is: 595,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,312 : 272,135 = 272,135 : x
  2. Step 2: Convert to fraction form
    124,312/272,135 = 272,135/x
  3. Step 3: Cross multiply
    124,312x = 272,135 × 272,135
  4. Step 4: Simplify right side
    124,312x = 74,057,458,225
  5. Step 5: Solve for x
    x = 74,057,458,225/124,312
  6. Step 6: Final answer
    x = 595,738.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.