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Finding the Third Proportional to 102,937 and 216,942

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Solution

The third proportional to 102,937 and 216,942 is: 457,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,937 : 216,942 = 216,942 : x
  2. Step 2: Convert to fraction form
    102,937/216,942 = 216,942/x
  3. Step 3: Cross multiply
    102,937x = 216,942 × 216,942
  4. Step 4: Simplify right side
    102,937x = 47,063,831,364
  5. Step 5: Solve for x
    x = 47,063,831,364/102,937
  6. Step 6: Final answer
    x = 457,210.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.