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Finding the Third Proportional to 390,867 and 583,998

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Solution

The third proportional to 390,867 and 583,998 is: 872,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,867 : 583,998 = 583,998 : x
  2. Step 2: Convert to fraction form
    390,867/583,998 = 583,998/x
  3. Step 3: Cross multiply
    390,867x = 583,998 × 583,998
  4. Step 4: Simplify right side
    390,867x = 341,053,664,004
  5. Step 5: Solve for x
    x = 341,053,664,004/390,867
  6. Step 6: Final answer
    x = 872,556.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.