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Finding the Third Proportional to 216,106.50 and 317,153.50

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Solution

The third proportional to 216,106.50 and 317,153.50 is: 465,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,106.50 : 317,153.50 = 317,153.50 : x
  2. Step 2: Convert to fraction form
    216,106.50/317,153.50 = 317,153.50/x
  3. Step 3: Cross multiply
    216,106.50x = 317,153.50 × 317,153.50
  4. Step 4: Simplify right side
    216,106.50x = 100,586,342,562.25
  5. Step 5: Solve for x
    x = 100,586,342,562.25/216,106.50
  6. Step 6: Final answer
    x = 465,448.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.