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Finding the Third Proportional to 72,007 and 155,502

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Solution

The third proportional to 72,007 and 155,502 is: 335,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,007 : 155,502 = 155,502 : x
  2. Step 2: Convert to fraction form
    72,007/155,502 = 155,502/x
  3. Step 3: Cross multiply
    72,007x = 155,502 × 155,502
  4. Step 4: Simplify right side
    72,007x = 24,180,872,004
  5. Step 5: Solve for x
    x = 24,180,872,004/72,007
  6. Step 6: Final answer
    x = 335,812.80

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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.