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Finding the Third Proportional to 133,670 and 287,428

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Solution

The third proportional to 133,670 and 287,428 is: 618,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,670 : 287,428 = 287,428 : x
  2. Step 2: Convert to fraction form
    133,670/287,428 = 287,428/x
  3. Step 3: Cross multiply
    133,670x = 287,428 × 287,428
  4. Step 4: Simplify right side
    133,670x = 82,614,855,184
  5. Step 5: Solve for x
    x = 82,614,855,184/133,670
  6. Step 6: Final answer
    x = 618,050.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.