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Finding the Third Proportional to 218,712 and 342,648

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Solution

The third proportional to 218,712 and 342,648 is: 536,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712 : 342,648 = 342,648 : x
  2. Step 2: Convert to fraction form
    218,712/342,648 = 342,648/x
  3. Step 3: Cross multiply
    218,712x = 342,648 × 342,648
  4. Step 4: Simplify right side
    218,712x = 117,407,651,904
  5. Step 5: Solve for x
    x = 117,407,651,904/218,712
  6. Step 6: Final answer
    x = 536,813.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.