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Finding the Third Proportional to 207,988 and 297,434

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Solution

The third proportional to 207,988 and 297,434 is: 425,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,988 : 297,434 = 297,434 : x
  2. Step 2: Convert to fraction form
    207,988/297,434 = 297,434/x
  3. Step 3: Cross multiply
    207,988x = 297,434 × 297,434
  4. Step 4: Simplify right side
    207,988x = 88,466,984,356
  5. Step 5: Solve for x
    x = 88,466,984,356/207,988
  6. Step 6: Final answer
    x = 425,346.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.