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Finding the Third Proportional to 220,823.25 and 478,987.50

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Solution

The third proportional to 220,823.25 and 478,987.50 is: 1,038,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,823.25 : 478,987.50 = 478,987.50 : x
  2. Step 2: Convert to fraction form
    220,823.25/478,987.50 = 478,987.50/x
  3. Step 3: Cross multiply
    220,823.25x = 478,987.50 × 478,987.50
  4. Step 4: Simplify right side
    220,823.25x = 229,429,025,156.25
  5. Step 5: Solve for x
    x = 229,429,025,156.25/220,823.25
  6. Step 6: Final answer
    x = 1,038,971.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.