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Finding the Third Proportional to 242,320 and 367,840

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Solution

The third proportional to 242,320 and 367,840 is: 558,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,320 : 367,840 = 367,840 : x
  2. Step 2: Convert to fraction form
    242,320/367,840 = 367,840/x
  3. Step 3: Cross multiply
    242,320x = 367,840 × 367,840
  4. Step 4: Simplify right side
    242,320x = 135,306,265,600
  5. Step 5: Solve for x
    x = 135,306,265,600/242,320
  6. Step 6: Final answer
    x = 558,378.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.