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Finding the Third Proportional to 105,946 and 232,124

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Solution

The third proportional to 105,946 and 232,124 is: 508,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,946 : 232,124 = 232,124 : x
  2. Step 2: Convert to fraction form
    105,946/232,124 = 232,124/x
  3. Step 3: Cross multiply
    105,946x = 232,124 × 232,124
  4. Step 4: Simplify right side
    105,946x = 53,881,551,376
  5. Step 5: Solve for x
    x = 53,881,551,376/105,946
  6. Step 6: Final answer
    x = 508,575.61

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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.