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Finding the Third Proportional to 369,929 and 806,290

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Solution

The third proportional to 369,929 and 806,290 is: 1,757,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,929 : 806,290 = 806,290 : x
  2. Step 2: Convert to fraction form
    369,929/806,290 = 806,290/x
  3. Step 3: Cross multiply
    369,929x = 806,290 × 806,290
  4. Step 4: Simplify right side
    369,929x = 650,103,564,100
  5. Step 5: Solve for x
    x = 650,103,564,100/369,929
  6. Step 6: Final answer
    x = 1,757,373.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.