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Finding the Third Proportional to 155,937 and 243,032

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Solution

The third proportional to 155,937 and 243,032 is: 378,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,937 : 243,032 = 243,032 : x
  2. Step 2: Convert to fraction form
    155,937/243,032 = 243,032/x
  3. Step 3: Cross multiply
    155,937x = 243,032 × 243,032
  4. Step 4: Simplify right side
    155,937x = 59,064,553,024
  5. Step 5: Solve for x
    x = 59,064,553,024/155,937
  6. Step 6: Final answer
    x = 378,771.90

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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.