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Finding the Third Proportional to 390,444.05 and 855,671.34

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Solution

The third proportional to 390,444.05 and 855,671.34 is: 1,875,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,444.05 : 855,671.34 = 855,671.34 : x
  2. Step 2: Convert to fraction form
    390,444.05/855,671.34 = 855,671.34/x
  3. Step 3: Cross multiply
    390,444.05x = 855,671.34 × 855,671.34
  4. Step 4: Simplify right side
    390,444.05x = 732,173,448,514.93
  5. Step 5: Solve for x
    x = 732,173,448,514.93/390,444.05
  6. Step 6: Final answer
    x = 1,875,232.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.