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Finding the Third Proportional to 99,070 and 172,907

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Solution

The third proportional to 99,070 and 172,907 is: 301,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,070 : 172,907 = 172,907 : x
  2. Step 2: Convert to fraction form
    99,070/172,907 = 172,907/x
  3. Step 3: Cross multiply
    99,070x = 172,907 × 172,907
  4. Step 4: Simplify right side
    99,070x = 29,896,830,649
  5. Step 5: Solve for x
    x = 29,896,830,649/99,070
  6. Step 6: Final answer
    x = 301,774.81

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.