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Finding the Third Proportional to 390,651 and 587,017

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Solution

The third proportional to 390,651 and 587,017 is: 882,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,651 : 587,017 = 587,017 : x
  2. Step 2: Convert to fraction form
    390,651/587,017 = 587,017/x
  3. Step 3: Cross multiply
    390,651x = 587,017 × 587,017
  4. Step 4: Simplify right side
    390,651x = 344,588,958,289
  5. Step 5: Solve for x
    x = 344,588,958,289/390,651
  6. Step 6: Final answer
    x = 882,089.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.