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Finding the Third Proportional to 155,898 and 242,973

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Solution

The third proportional to 155,898 and 242,973 is: 378,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,898 : 242,973 = 242,973 : x
  2. Step 2: Convert to fraction form
    155,898/242,973 = 242,973/x
  3. Step 3: Cross multiply
    155,898x = 242,973 × 242,973
  4. Step 4: Simplify right side
    155,898x = 59,035,878,729
  5. Step 5: Solve for x
    x = 59,035,878,729/155,898
  6. Step 6: Final answer
    x = 378,682.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.