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Finding the Third Proportional to 355,696 and 542,578

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Solution

The third proportional to 355,696 and 542,578 is: 827,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,696 : 542,578 = 542,578 : x
  2. Step 2: Convert to fraction form
    355,696/542,578 = 542,578/x
  3. Step 3: Cross multiply
    355,696x = 542,578 × 542,578
  4. Step 4: Simplify right side
    355,696x = 294,390,886,084
  5. Step 5: Solve for x
    x = 294,390,886,084/355,696
  6. Step 6: Final answer
    x = 827,647.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.