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Finding the Third Proportional to 133,057 and 288,718

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Solution

The third proportional to 133,057 and 288,718 is: 626,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057 : 288,718 = 288,718 : x
  2. Step 2: Convert to fraction form
    133,057/288,718 = 288,718/x
  3. Step 3: Cross multiply
    133,057x = 288,718 × 288,718
  4. Step 4: Simplify right side
    133,057x = 83,358,083,524
  5. Step 5: Solve for x
    x = 83,358,083,524/133,057
  6. Step 6: Final answer
    x = 626,484.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.