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Finding the Third Proportional to 272,943 and 486,823.50

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Solution

The third proportional to 272,943 and 486,823.50 is: 868,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,943 : 486,823.50 = 486,823.50 : x
  2. Step 2: Convert to fraction form
    272,943/486,823.50 = 486,823.50/x
  3. Step 3: Cross multiply
    272,943x = 486,823.50 × 486,823.50
  4. Step 4: Simplify right side
    272,943x = 236,997,120,152.25
  5. Step 5: Solve for x
    x = 236,997,120,152.25/272,943
  6. Step 6: Final answer
    x = 868,302.61

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.