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Finding the Third Proportional to 261,112 and 390,678

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Solution

The third proportional to 261,112 and 390,678 is: 584,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,112 : 390,678 = 390,678 : x
  2. Step 2: Convert to fraction form
    261,112/390,678 = 390,678/x
  3. Step 3: Cross multiply
    261,112x = 390,678 × 390,678
  4. Step 4: Simplify right side
    261,112x = 152,629,299,684
  5. Step 5: Solve for x
    x = 152,629,299,684/261,112
  6. Step 6: Final answer
    x = 584,535.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.