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Finding the Third Proportional to 216,029 and 290,820

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Solution

The third proportional to 216,029 and 290,820 is: 391,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,029 : 290,820 = 290,820 : x
  2. Step 2: Convert to fraction form
    216,029/290,820 = 290,820/x
  3. Step 3: Cross multiply
    216,029x = 290,820 × 290,820
  4. Step 4: Simplify right side
    216,029x = 84,576,272,400
  5. Step 5: Solve for x
    x = 84,576,272,400/216,029
  6. Step 6: Final answer
    x = 391,504.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.