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Finding the Third Proportional to 247,395 and 370,440

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Solution

The third proportional to 247,395 and 370,440 is: 554,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,395 : 370,440 = 370,440 : x
  2. Step 2: Convert to fraction form
    247,395/370,440 = 370,440/x
  3. Step 3: Cross multiply
    247,395x = 370,440 × 370,440
  4. Step 4: Simplify right side
    247,395x = 137,225,793,600
  5. Step 5: Solve for x
    x = 137,225,793,600/247,395
  6. Step 6: Final answer
    x = 554,682.97

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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.