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Finding the Third Proportional to 448,629.25 and 689,575.13

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Solution

The third proportional to 448,629.25 and 689,575.13 is: 1,059,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,629.25 : 689,575.13 = 689,575.13 : x
  2. Step 2: Convert to fraction form
    448,629.25/689,575.13 = 689,575.13/x
  3. Step 3: Cross multiply
    448,629.25x = 689,575.13 × 689,575.13
  4. Step 4: Simplify right side
    448,629.25x = 475,513,853,018.77
  5. Step 5: Solve for x
    x = 475,513,853,018.77/448,629.25
  6. Step 6: Final answer
    x = 1,059,926.10

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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.