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Finding the Third Proportional to 256,172 and 411,590

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Solution

The third proportional to 256,172 and 411,590 is: 661,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,172 : 411,590 = 411,590 : x
  2. Step 2: Convert to fraction form
    256,172/411,590 = 411,590/x
  3. Step 3: Cross multiply
    256,172x = 411,590 × 411,590
  4. Step 4: Simplify right side
    256,172x = 169,406,328,100
  5. Step 5: Solve for x
    x = 169,406,328,100/256,172
  6. Step 6: Final answer
    x = 661,299.16

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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.