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Finding the Third Proportional to 139,457 and 287,169

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Solution

The third proportional to 139,457 and 287,169 is: 591,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,457 : 287,169 = 287,169 : x
  2. Step 2: Convert to fraction form
    139,457/287,169 = 287,169/x
  3. Step 3: Cross multiply
    139,457x = 287,169 × 287,169
  4. Step 4: Simplify right side
    139,457x = 82,466,034,561
  5. Step 5: Solve for x
    x = 82,466,034,561/139,457
  6. Step 6: Final answer
    x = 591,336.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.