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Finding the Third Proportional to 448,866.56 and 686,721.80

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Solution

The third proportional to 448,866.56 and 686,721.80 is: 1,050,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,866.56 : 686,721.80 = 686,721.80 : x
  2. Step 2: Convert to fraction form
    448,866.56/686,721.80 = 686,721.80/x
  3. Step 3: Cross multiply
    448,866.56x = 686,721.80 × 686,721.80
  4. Step 4: Simplify right side
    448,866.56x = 471,586,826,303.23
  5. Step 5: Solve for x
    x = 471,586,826,303.23/448,866.56
  6. Step 6: Final answer
    x = 1,050,616.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.