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Finding the Third Proportional to 306,776 and 717,112

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Solution

The third proportional to 306,776 and 717,112 is: 1,676,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,776 : 717,112 = 717,112 : x
  2. Step 2: Convert to fraction form
    306,776/717,112 = 717,112/x
  3. Step 3: Cross multiply
    306,776x = 717,112 × 717,112
  4. Step 4: Simplify right side
    306,776x = 514,249,620,544
  5. Step 5: Solve for x
    x = 514,249,620,544/306,776
  6. Step 6: Final answer
    x = 1,676,303.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.