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Finding the Third Proportional to 216,117 and 317,169

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Solution

The third proportional to 216,117 and 317,169 is: 465,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,117 : 317,169 = 317,169 : x
  2. Step 2: Convert to fraction form
    216,117/317,169 = 317,169/x
  3. Step 3: Cross multiply
    216,117x = 317,169 × 317,169
  4. Step 4: Simplify right side
    216,117x = 100,596,174,561
  5. Step 5: Solve for x
    x = 100,596,174,561/216,117
  6. Step 6: Final answer
    x = 465,470.90

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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.