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Finding the Third Proportional to 717,829 and 1,577,169

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Solution

The third proportional to 717,829 and 1,577,169 is: 3,465,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,829 : 1,577,169 = 1,577,169 : x
  2. Step 2: Convert to fraction form
    717,829/1,577,169 = 1,577,169/x
  3. Step 3: Cross multiply
    717,829x = 1,577,169 × 1,577,169
  4. Step 4: Simplify right side
    717,829x = 2,487,462,054,561
  5. Step 5: Solve for x
    x = 2,487,462,054,561/717,829
  6. Step 6: Final answer
    x = 3,465,257.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.