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Finding the Third Proportional to 216,754 and 345,197

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Solution

The third proportional to 216,754 and 345,197 is: 549,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,754 : 345,197 = 345,197 : x
  2. Step 2: Convert to fraction form
    216,754/345,197 = 345,197/x
  3. Step 3: Cross multiply
    216,754x = 345,197 × 345,197
  4. Step 4: Simplify right side
    216,754x = 119,160,968,809
  5. Step 5: Solve for x
    x = 119,160,968,809/216,754
  6. Step 6: Final answer
    x = 549,752.11

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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.