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Finding the Third Proportional to 448,749.33 and 689,731.53

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Solution

The third proportional to 448,749.33 and 689,731.53 is: 1,060,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,749.33 : 689,731.53 = 689,731.53 : x
  2. Step 2: Convert to fraction form
    448,749.33/689,731.53 = 689,731.53/x
  3. Step 3: Cross multiply
    448,749.33x = 689,731.53 × 689,731.53
  4. Step 4: Simplify right side
    448,749.33x = 475,729,586,547.65
  5. Step 5: Solve for x
    x = 475,729,586,547.65/448,749.33
  6. Step 6: Final answer
    x = 1,060,123.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.