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Finding the Third Proportional to 220,947 and 345,637.50

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Solution

The third proportional to 220,947 and 345,637.50 is: 540,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,947 : 345,637.50 = 345,637.50 : x
  2. Step 2: Convert to fraction form
    220,947/345,637.50 = 345,637.50/x
  3. Step 3: Cross multiply
    220,947x = 345,637.50 × 345,637.50
  4. Step 4: Simplify right side
    220,947x = 119,465,281,406.25
  5. Step 5: Solve for x
    x = 119,465,281,406.25/220,947
  6. Step 6: Final answer
    x = 540,696.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.