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Finding the Third Proportional to 390,885.75 and 587,267.72

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Solution

The third proportional to 390,885.75 and 587,267.72 is: 882,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,885.75 : 587,267.72 = 587,267.72 : x
  2. Step 2: Convert to fraction form
    390,885.75/587,267.72 = 587,267.72/x
  3. Step 3: Cross multiply
    390,885.75x = 587,267.72 × 587,267.72
  4. Step 4: Simplify right side
    390,885.75x = 344,883,373,485.83
  5. Step 5: Solve for x
    x = 344,883,373,485.83/390,885.75
  6. Step 6: Final answer
    x = 882,312.47

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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.