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Finding the Third Proportional to 330,700 and 717,776

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Solution

The third proportional to 330,700 and 717,776 is: 1,557,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,700 : 717,776 = 717,776 : x
  2. Step 2: Convert to fraction form
    330,700/717,776 = 717,776/x
  3. Step 3: Cross multiply
    330,700x = 717,776 × 717,776
  4. Step 4: Simplify right side
    330,700x = 515,202,386,176
  5. Step 5: Solve for x
    x = 515,202,386,176/330,700
  6. Step 6: Final answer
    x = 1,557,914.68

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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.