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Finding the Third Proportional to 489,727.50 and 717,824.25

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Solution

The third proportional to 489,727.50 and 717,824.25 is: 1,052,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,727.50 : 717,824.25 = 717,824.25 : x
  2. Step 2: Convert to fraction form
    489,727.50/717,824.25 = 717,824.25/x
  3. Step 3: Cross multiply
    489,727.50x = 717,824.25 × 717,824.25
  4. Step 4: Simplify right side
    489,727.50x = 515,271,653,888.06
  5. Step 5: Solve for x
    x = 515,271,653,888.06/489,727.50
  6. Step 6: Final answer
    x = 1,052,159.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.