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Finding the Third Proportional to 102,140 and 216,808

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Solution

The third proportional to 102,140 and 216,808 is: 460,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,140 : 216,808 = 216,808 : x
  2. Step 2: Convert to fraction form
    102,140/216,808 = 216,808/x
  3. Step 3: Cross multiply
    102,140x = 216,808 × 216,808
  4. Step 4: Simplify right side
    102,140x = 47,005,708,864
  5. Step 5: Solve for x
    x = 47,005,708,864/102,140
  6. Step 6: Final answer
    x = 460,208.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.