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Finding the Third Proportional to 256,295 and 598,820

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Solution

The third proportional to 256,295 and 598,820 is: 1,399,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,295 : 598,820 = 598,820 : x
  2. Step 2: Convert to fraction form
    256,295/598,820 = 598,820/x
  3. Step 3: Cross multiply
    256,295x = 598,820 × 598,820
  4. Step 4: Simplify right side
    256,295x = 358,585,392,400
  5. Step 5: Solve for x
    x = 358,585,392,400/256,295
  6. Step 6: Final answer
    x = 1,399,111.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.