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Finding the Third Proportional to 256,020 and 406,953

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Solution

The third proportional to 256,020 and 406,953 is: 646,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020 : 406,953 = 406,953 : x
  2. Step 2: Convert to fraction form
    256,020/406,953 = 406,953/x
  3. Step 3: Cross multiply
    256,020x = 406,953 × 406,953
  4. Step 4: Simplify right side
    256,020x = 165,610,744,209
  5. Step 5: Solve for x
    x = 165,610,744,209/256,020
  6. Step 6: Final answer
    x = 646,866.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.