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Finding the Third Proportional to 232,411.78 and 492,733.13

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Solution

The third proportional to 232,411.78 and 492,733.13 is: 1,044,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,411.78 : 492,733.13 = 492,733.13 : x
  2. Step 2: Convert to fraction form
    232,411.78/492,733.13 = 492,733.13/x
  3. Step 3: Cross multiply
    232,411.78x = 492,733.13 × 492,733.13
  4. Step 4: Simplify right side
    232,411.78x = 242,785,932,472.27
  5. Step 5: Solve for x
    x = 242,785,932,472.27/232,411.78
  6. Step 6: Final answer
    x = 1,044,636.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.