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Finding the Third Proportional to 102,154.50 and 216,595.50

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Solution

The third proportional to 102,154.50 and 216,595.50 is: 459,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,154.50 : 216,595.50 = 216,595.50 : x
  2. Step 2: Convert to fraction form
    102,154.50/216,595.50 = 216,595.50/x
  3. Step 3: Cross multiply
    102,154.50x = 216,595.50 × 216,595.50
  4. Step 4: Simplify right side
    102,154.50x = 46,913,610,620.25
  5. Step 5: Solve for x
    x = 46,913,610,620.25/102,154.50
  6. Step 6: Final answer
    x = 459,241.74

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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.