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Finding the Third Proportional to 147,218.50 and 317,751.50

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Solution

The third proportional to 147,218.50 and 317,751.50 is: 685,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,218.50 : 317,751.50 = 317,751.50 : x
  2. Step 2: Convert to fraction form
    147,218.50/317,751.50 = 317,751.50/x
  3. Step 3: Cross multiply
    147,218.50x = 317,751.50 × 317,751.50
  4. Step 4: Simplify right side
    147,218.50x = 100,966,015,752.25
  5. Step 5: Solve for x
    x = 100,966,015,752.25/147,218.50
  6. Step 6: Final answer
    x = 685,824.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.