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Finding the Third Proportional to 326,775.50 and 717,986

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Solution

The third proportional to 326,775.50 and 717,986 is: 1,577,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,775.50 : 717,986 = 717,986 : x
  2. Step 2: Convert to fraction form
    326,775.50/717,986 = 717,986/x
  3. Step 3: Cross multiply
    326,775.50x = 717,986 × 717,986
  4. Step 4: Simplify right side
    326,775.50x = 515,503,896,196
  5. Step 5: Solve for x
    x = 515,503,896,196/326,775.50
  6. Step 6: Final answer
    x = 1,577,547.57

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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.