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Finding the Third Proportional to 261,060 and 556,258

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Solution

The third proportional to 261,060 and 556,258 is: 1,185,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,060 : 556,258 = 556,258 : x
  2. Step 2: Convert to fraction form
    261,060/556,258 = 556,258/x
  3. Step 3: Cross multiply
    261,060x = 556,258 × 556,258
  4. Step 4: Simplify right side
    261,060x = 309,422,962,564
  5. Step 5: Solve for x
    x = 309,422,962,564/261,060
  6. Step 6: Final answer
    x = 1,185,256.12

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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.