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Finding the Third Proportional to 216,172 and 345,340

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Solution

The third proportional to 216,172 and 345,340 is: 551,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,172 : 345,340 = 345,340 : x
  2. Step 2: Convert to fraction form
    216,172/345,340 = 345,340/x
  3. Step 3: Cross multiply
    216,172x = 345,340 × 345,340
  4. Step 4: Simplify right side
    216,172x = 119,259,715,600
  5. Step 5: Solve for x
    x = 119,259,715,600/216,172
  6. Step 6: Final answer
    x = 551,689.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.