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Finding the Third Proportional to 263,460 and 390,616

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Solution

The third proportional to 263,460 and 390,616 is: 579,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,460 : 390,616 = 390,616 : x
  2. Step 2: Convert to fraction form
    263,460/390,616 = 390,616/x
  3. Step 3: Cross multiply
    263,460x = 390,616 × 390,616
  4. Step 4: Simplify right side
    263,460x = 152,580,859,456
  5. Step 5: Solve for x
    x = 152,580,859,456/263,460
  6. Step 6: Final answer
    x = 579,142.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.