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Finding the Third Proportional to 390,465.56 and 589,858.77

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Solution

The third proportional to 390,465.56 and 589,858.77 is: 891,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,465.56 : 589,858.77 = 589,858.77 : x
  2. Step 2: Convert to fraction form
    390,465.56/589,858.77 = 589,858.77/x
  3. Step 3: Cross multiply
    390,465.56x = 589,858.77 × 589,858.77
  4. Step 4: Simplify right side
    390,465.56x = 347,933,367,992.92
  5. Step 5: Solve for x
    x = 347,933,367,992.92/390,465.56
  6. Step 6: Final answer
    x = 891,073.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.