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Finding the Third Proportional to 390,008 and 589,812

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Solution

The third proportional to 390,008 and 589,812 is: 891,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,008 : 589,812 = 589,812 : x
  2. Step 2: Convert to fraction form
    390,008/589,812 = 589,812/x
  3. Step 3: Cross multiply
    390,008x = 589,812 × 589,812
  4. Step 4: Simplify right side
    390,008x = 347,878,195,344
  5. Step 5: Solve for x
    x = 347,878,195,344/390,008
  6. Step 6: Final answer
    x = 891,977.08

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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.