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Finding the Third Proportional to 191,742 and 290,295

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Solution

The third proportional to 191,742 and 290,295 is: 439,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,742 : 290,295 = 290,295 : x
  2. Step 2: Convert to fraction form
    191,742/290,295 = 290,295/x
  3. Step 3: Cross multiply
    191,742x = 290,295 × 290,295
  4. Step 4: Simplify right side
    191,742x = 84,271,187,025
  5. Step 5: Solve for x
    x = 84,271,187,025/191,742
  6. Step 6: Final answer
    x = 439,503.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.