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Finding the Third Proportional to 201,460 and 430,578

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Solution

The third proportional to 201,460 and 430,578 is: 920,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,460 : 430,578 = 430,578 : x
  2. Step 2: Convert to fraction form
    201,460/430,578 = 430,578/x
  3. Step 3: Cross multiply
    201,460x = 430,578 × 430,578
  4. Step 4: Simplify right side
    201,460x = 185,397,414,084
  5. Step 5: Solve for x
    x = 185,397,414,084/201,460
  6. Step 6: Final answer
    x = 920,269.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.