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Finding the Third Proportional to 390,048.75 and 851,880

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Solution

The third proportional to 390,048.75 and 851,880 is: 1,860,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,048.75 : 851,880 = 851,880 : x
  2. Step 2: Convert to fraction form
    390,048.75/851,880 = 851,880/x
  3. Step 3: Cross multiply
    390,048.75x = 851,880 × 851,880
  4. Step 4: Simplify right side
    390,048.75x = 725,699,534,400
  5. Step 5: Solve for x
    x = 725,699,534,400/390,048.75
  6. Step 6: Final answer
    x = 1,860,535.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.