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Finding the Third Proportional to 243,972 and 369,360

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Solution

The third proportional to 243,972 and 369,360 is: 559,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,972 : 369,360 = 369,360 : x
  2. Step 2: Convert to fraction form
    243,972/369,360 = 369,360/x
  3. Step 3: Cross multiply
    243,972x = 369,360 × 369,360
  4. Step 4: Simplify right side
    243,972x = 136,426,809,600
  5. Step 5: Solve for x
    x = 136,426,809,600/243,972
  6. Step 6: Final answer
    x = 559,190.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.