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Finding the Third Proportional to 172,607 and 357,195.50

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Solution

The third proportional to 172,607 and 357,195.50 is: 739,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,607 : 357,195.50 = 357,195.50 : x
  2. Step 2: Convert to fraction form
    172,607/357,195.50 = 357,195.50/x
  3. Step 3: Cross multiply
    172,607x = 357,195.50 × 357,195.50
  4. Step 4: Simplify right side
    172,607x = 127,588,625,220.25
  5. Step 5: Solve for x
    x = 127,588,625,220.25/172,607
  6. Step 6: Final answer
    x = 739,185.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.