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Finding the Third Proportional to 199,599 and 317,752.50

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Solution

The third proportional to 199,599 and 317,752.50 is: 505,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,599 : 317,752.50 = 317,752.50 : x
  2. Step 2: Convert to fraction form
    199,599/317,752.50 = 317,752.50/x
  3. Step 3: Cross multiply
    199,599x = 317,752.50 × 317,752.50
  4. Step 4: Simplify right side
    199,599x = 100,966,651,256.25
  5. Step 5: Solve for x
    x = 100,966,651,256.25/199,599
  6. Step 6: Final answer
    x = 505,847.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.