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Finding the Third Proportional to 198,457 and 299,528

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Solution

The third proportional to 198,457 and 299,528 is: 452,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,457 : 299,528 = 299,528 : x
  2. Step 2: Convert to fraction form
    198,457/299,528 = 299,528/x
  3. Step 3: Cross multiply
    198,457x = 299,528 × 299,528
  4. Step 4: Simplify right side
    198,457x = 89,717,022,784
  5. Step 5: Solve for x
    x = 89,717,022,784/198,457
  6. Step 6: Final answer
    x = 452,072.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.