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Finding the Third Proportional to 232,280 and 508,846

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Solution

The third proportional to 232,280 and 508,846 is: 1,114,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,280 : 508,846 = 508,846 : x
  2. Step 2: Convert to fraction form
    232,280/508,846 = 508,846/x
  3. Step 3: Cross multiply
    232,280x = 508,846 × 508,846
  4. Step 4: Simplify right side
    232,280x = 258,924,251,716
  5. Step 5: Solve for x
    x = 258,924,251,716/232,280
  6. Step 6: Final answer
    x = 1,114,707.47

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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.