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Finding the Third Proportional to 302,779.50 and 720,012.75

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Solution

The third proportional to 302,779.50 and 720,012.75 is: 1,712,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,779.50 : 720,012.75 = 720,012.75 : x
  2. Step 2: Convert to fraction form
    302,779.50/720,012.75 = 720,012.75/x
  3. Step 3: Cross multiply
    302,779.50x = 720,012.75 × 720,012.75
  4. Step 4: Simplify right side
    302,779.50x = 518,418,360,162.56
  5. Step 5: Solve for x
    x = 518,418,360,162.56/302,779.50
  6. Step 6: Final answer
    x = 1,712,197.69

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.