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Finding the Third Proportional to 263,160 and 390,204

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Solution

The third proportional to 263,160 and 390,204 is: 578,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,160 : 390,204 = 390,204 : x
  2. Step 2: Convert to fraction form
    263,160/390,204 = 390,204/x
  3. Step 3: Cross multiply
    263,160x = 390,204 × 390,204
  4. Step 4: Simplify right side
    263,160x = 152,259,161,616
  5. Step 5: Solve for x
    x = 152,259,161,616/263,160
  6. Step 6: Final answer
    x = 578,580.19

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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.