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Finding the Third Proportional to 136,800 and 295,461

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Solution

The third proportional to 136,800 and 295,461 is: 638,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,800 : 295,461 = 295,461 : x
  2. Step 2: Convert to fraction form
    136,800/295,461 = 295,461/x
  3. Step 3: Cross multiply
    136,800x = 295,461 × 295,461
  4. Step 4: Simplify right side
    136,800x = 87,297,202,521
  5. Step 5: Solve for x
    x = 87,297,202,521/136,800
  6. Step 6: Final answer
    x = 638,137.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.