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Finding the Third Proportional to 256,520 and 562,294

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Solution

The third proportional to 256,520 and 562,294 is: 1,232,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,520 : 562,294 = 562,294 : x
  2. Step 2: Convert to fraction form
    256,520/562,294 = 562,294/x
  3. Step 3: Cross multiply
    256,520x = 562,294 × 562,294
  4. Step 4: Simplify right side
    256,520x = 316,174,542,436
  5. Step 5: Solve for x
    x = 316,174,542,436/256,520
  6. Step 6: Final answer
    x = 1,232,553.18

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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.