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Finding the Third Proportional to 216,001.69 and 290,779.88

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Solution

The third proportional to 216,001.69 and 290,779.88 is: 391,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,001.69 : 290,779.88 = 290,779.88 : x
  2. Step 2: Convert to fraction form
    216,001.69/290,779.88 = 290,779.88/x
  3. Step 3: Cross multiply
    216,001.69x = 290,779.88 × 290,779.88
  4. Step 4: Simplify right side
    216,001.69x = 84,552,935,705.02
  5. Step 5: Solve for x
    x = 84,552,935,705.02/216,001.69
  6. Step 6: Final answer
    x = 391,445.72

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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.