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Finding the Third Proportional to 390,848 and 587,308

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Solution

The third proportional to 390,848 and 587,308 is: 882,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,848 : 587,308 = 587,308 : x
  2. Step 2: Convert to fraction form
    390,848/587,308 = 587,308/x
  3. Step 3: Cross multiply
    390,848x = 587,308 × 587,308
  4. Step 4: Simplify right side
    390,848x = 344,930,686,864
  5. Step 5: Solve for x
    x = 344,930,686,864/390,848
  6. Step 6: Final answer
    x = 882,518.75

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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.