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Finding the Third Proportional to 199,948.50 and 317,985.75

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Solution

The third proportional to 199,948.50 and 317,985.75 is: 505,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,948.50 : 317,985.75 = 317,985.75 : x
  2. Step 2: Convert to fraction form
    199,948.50/317,985.75 = 317,985.75/x
  3. Step 3: Cross multiply
    199,948.50x = 317,985.75 × 317,985.75
  4. Step 4: Simplify right side
    199,948.50x = 101,114,937,203.06
  5. Step 5: Solve for x
    x = 101,114,937,203.06/199,948.50
  6. Step 6: Final answer
    x = 505,704.91

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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.