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Finding the Third Proportional to 243,312 and 522,608

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Solution

The third proportional to 243,312 and 522,608 is: 1,122,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,312 : 522,608 = 522,608 : x
  2. Step 2: Convert to fraction form
    243,312/522,608 = 522,608/x
  3. Step 3: Cross multiply
    243,312x = 522,608 × 522,608
  4. Step 4: Simplify right side
    243,312x = 273,119,121,664
  5. Step 5: Solve for x
    x = 273,119,121,664/243,312
  6. Step 6: Final answer
    x = 1,122,505.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.