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Finding the Third Proportional to 102,143 and 168,807

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Solution

The third proportional to 102,143 and 168,807 is: 278,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143 : 168,807 = 168,807 : x
  2. Step 2: Convert to fraction form
    102,143/168,807 = 168,807/x
  3. Step 3: Cross multiply
    102,143x = 168,807 × 168,807
  4. Step 4: Simplify right side
    102,143x = 28,495,803,249
  5. Step 5: Solve for x
    x = 28,495,803,249/102,143
  6. Step 6: Final answer
    x = 278,979.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.