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Finding the Third Proportional to 243,976 and 369,365

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Solution

The third proportional to 243,976 and 369,365 is: 559,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,976 : 369,365 = 369,365 : x
  2. Step 2: Convert to fraction form
    243,976/369,365 = 369,365/x
  3. Step 3: Cross multiply
    243,976x = 369,365 × 369,365
  4. Step 4: Simplify right side
    243,976x = 136,430,503,225
  5. Step 5: Solve for x
    x = 136,430,503,225/243,976
  6. Step 6: Final answer
    x = 559,196.41

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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.