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Finding the Third Proportional to 216,201 and 347,382

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Solution

The third proportional to 216,201 and 347,382 is: 558,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,201 : 347,382 = 347,382 : x
  2. Step 2: Convert to fraction form
    216,201/347,382 = 347,382/x
  3. Step 3: Cross multiply
    216,201x = 347,382 × 347,382
  4. Step 4: Simplify right side
    216,201x = 120,674,253,924
  5. Step 5: Solve for x
    x = 120,674,253,924/216,201
  6. Step 6: Final answer
    x = 558,157.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.