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Finding the Third Proportional to 287,092 and 628,612

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Solution

The third proportional to 287,092 and 628,612 is: 1,376,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,092 : 628,612 = 628,612 : x
  2. Step 2: Convert to fraction form
    287,092/628,612 = 628,612/x
  3. Step 3: Cross multiply
    287,092x = 628,612 × 628,612
  4. Step 4: Simplify right side
    287,092x = 395,153,046,544
  5. Step 5: Solve for x
    x = 395,153,046,544/287,092
  6. Step 6: Final answer
    x = 1,376,398.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.