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Finding the Third Proportional to 390,450 and 590,592

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Solution

The third proportional to 390,450 and 590,592 is: 893,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,450 : 590,592 = 590,592 : x
  2. Step 2: Convert to fraction form
    390,450/590,592 = 590,592/x
  3. Step 3: Cross multiply
    390,450x = 590,592 × 590,592
  4. Step 4: Simplify right side
    390,450x = 348,798,910,464
  5. Step 5: Solve for x
    x = 348,798,910,464/390,450
  6. Step 6: Final answer
    x = 893,325.42

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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.