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Finding the Third Proportional to 189,270 and 416,943

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Solution

The third proportional to 189,270 and 416,943 is: 918,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,270 : 416,943 = 416,943 : x
  2. Step 2: Convert to fraction form
    189,270/416,943 = 416,943/x
  3. Step 3: Cross multiply
    189,270x = 416,943 × 416,943
  4. Step 4: Simplify right side
    189,270x = 173,841,465,249
  5. Step 5: Solve for x
    x = 173,841,465,249/189,270
  6. Step 6: Final answer
    x = 918,483.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.