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Finding the Third Proportional to 191,820 and 290,394

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Solution

The third proportional to 191,820 and 290,394 is: 439,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,820 : 290,394 = 290,394 : x
  2. Step 2: Convert to fraction form
    191,820/290,394 = 290,394/x
  3. Step 3: Cross multiply
    191,820x = 290,394 × 290,394
  4. Step 4: Simplify right side
    191,820x = 84,328,675,236
  5. Step 5: Solve for x
    x = 84,328,675,236/191,820
  6. Step 6: Final answer
    x = 439,624.00

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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.