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Finding the Third Proportional to 256,160 and 411,580

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Solution

The third proportional to 256,160 and 411,580 is: 661,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,160 : 411,580 = 411,580 : x
  2. Step 2: Convert to fraction form
    256,160/411,580 = 411,580/x
  3. Step 3: Cross multiply
    256,160x = 411,580 × 411,580
  4. Step 4: Simplify right side
    256,160x = 169,398,096,400
  5. Step 5: Solve for x
    x = 169,398,096,400/256,160
  6. Step 6: Final answer
    x = 661,298.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.