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Finding the Third Proportional to 493,111.13 and 737,682.19

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Solution

The third proportional to 493,111.13 and 737,682.19 is: 1,103,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,111.13 : 737,682.19 = 737,682.19 : x
  2. Step 2: Convert to fraction form
    493,111.13/737,682.19 = 737,682.19/x
  3. Step 3: Cross multiply
    493,111.13x = 737,682.19 × 737,682.19
  4. Step 4: Simplify right side
    493,111.13x = 544,175,009,754.79
  5. Step 5: Solve for x
    x = 544,175,009,754.79/493,111.13
  6. Step 6: Final answer
    x = 1,103,554.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.