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Finding the Third Proportional to 369,099 and 578,242

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Solution

The third proportional to 369,099 and 578,242 is: 905,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,099 : 578,242 = 578,242 : x
  2. Step 2: Convert to fraction form
    369,099/578,242 = 578,242/x
  3. Step 3: Cross multiply
    369,099x = 578,242 × 578,242
  4. Step 4: Simplify right side
    369,099x = 334,363,810,564
  5. Step 5: Solve for x
    x = 334,363,810,564/369,099
  6. Step 6: Final answer
    x = 905,891.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.