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Finding the Third Proportional to 200,970 and 431,080

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Solution

The third proportional to 200,970 and 431,080 is: 924,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,970 : 431,080 = 431,080 : x
  2. Step 2: Convert to fraction form
    200,970/431,080 = 431,080/x
  3. Step 3: Cross multiply
    200,970x = 431,080 × 431,080
  4. Step 4: Simplify right side
    200,970x = 185,829,966,400
  5. Step 5: Solve for x
    x = 185,829,966,400/200,970
  6. Step 6: Final answer
    x = 924,665.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.