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Finding the Third Proportional to 261,053 and 556,246

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Solution

The third proportional to 261,053 and 556,246 is: 1,185,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,053 : 556,246 = 556,246 : x
  2. Step 2: Convert to fraction form
    261,053/556,246 = 556,246/x
  3. Step 3: Cross multiply
    261,053x = 556,246 × 556,246
  4. Step 4: Simplify right side
    261,053x = 309,409,612,516
  5. Step 5: Solve for x
    x = 309,409,612,516/261,053
  6. Step 6: Final answer
    x = 1,185,236.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.