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Finding the Third Proportional to 202,428 and 291,612

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Solution

The third proportional to 202,428 and 291,612 is: 420,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,428 : 291,612 = 291,612 : x
  2. Step 2: Convert to fraction form
    202,428/291,612 = 291,612/x
  3. Step 3: Cross multiply
    202,428x = 291,612 × 291,612
  4. Step 4: Simplify right side
    202,428x = 85,037,558,544
  5. Step 5: Solve for x
    x = 85,037,558,544/202,428
  6. Step 6: Final answer
    x = 420,087.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.