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Finding the Third Proportional to 212,976 and 455,503.50

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Solution

The third proportional to 212,976 and 455,503.50 is: 974,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,976 : 455,503.50 = 455,503.50 : x
  2. Step 2: Convert to fraction form
    212,976/455,503.50 = 455,503.50/x
  3. Step 3: Cross multiply
    212,976x = 455,503.50 × 455,503.50
  4. Step 4: Simplify right side
    212,976x = 207,483,438,512.25
  5. Step 5: Solve for x
    x = 207,483,438,512.25/212,976
  6. Step 6: Final answer
    x = 974,210.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.