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Finding the Third Proportional to 324,486 and 484,987.50

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Solution

The third proportional to 324,486 and 484,987.50 is: 724,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,486 : 484,987.50 = 484,987.50 : x
  2. Step 2: Convert to fraction form
    324,486/484,987.50 = 484,987.50/x
  3. Step 3: Cross multiply
    324,486x = 484,987.50 × 484,987.50
  4. Step 4: Simplify right side
    324,486x = 235,212,875,156.25
  5. Step 5: Solve for x
    x = 235,212,875,156.25/324,486
  6. Step 6: Final answer
    x = 724,878.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.