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Finding the Third Proportional to 204,140 and 432,988

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Solution

The third proportional to 204,140 and 432,988 is: 918,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,140 : 432,988 = 432,988 : x
  2. Step 2: Convert to fraction form
    204,140/432,988 = 432,988/x
  3. Step 3: Cross multiply
    204,140x = 432,988 × 432,988
  4. Step 4: Simplify right side
    204,140x = 187,478,608,144
  5. Step 5: Solve for x
    x = 187,478,608,144/204,140
  6. Step 6: Final answer
    x = 918,382.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.