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Finding the Third Proportional to 390,469.50 and 589,863

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Solution

The third proportional to 390,469.50 and 589,863 is: 891,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,469.50 : 589,863 = 589,863 : x
  2. Step 2: Convert to fraction form
    390,469.50/589,863 = 589,863/x
  3. Step 3: Cross multiply
    390,469.50x = 589,863 × 589,863
  4. Step 4: Simplify right side
    390,469.50x = 347,938,358,769
  5. Step 5: Solve for x
    x = 347,938,358,769/390,469.50
  6. Step 6: Final answer
    x = 891,076.92

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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.