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Finding the Third Proportional to 172,428.75 and 266,024.25

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Solution

The third proportional to 172,428.75 and 266,024.25 is: 410,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,428.75 : 266,024.25 = 266,024.25 : x
  2. Step 2: Convert to fraction form
    172,428.75/266,024.25 = 266,024.25/x
  3. Step 3: Cross multiply
    172,428.75x = 266,024.25 × 266,024.25
  4. Step 4: Simplify right side
    172,428.75x = 70,768,901,588.06
  5. Step 5: Solve for x
    x = 70,768,901,588.06/172,428.75
  6. Step 6: Final answer
    x = 410,424.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.