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Finding the Third Proportional to 390,112 and 601,368

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Solution

The third proportional to 390,112 and 601,368 is: 927,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,112 : 601,368 = 601,368 : x
  2. Step 2: Convert to fraction form
    390,112/601,368 = 601,368/x
  3. Step 3: Cross multiply
    390,112x = 601,368 × 601,368
  4. Step 4: Simplify right side
    390,112x = 361,643,471,424
  5. Step 5: Solve for x
    x = 361,643,471,424/390,112
  6. Step 6: Final answer
    x = 927,024.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.