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Finding the Third Proportional to 253,152 and 392,491

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Solution

The third proportional to 253,152 and 392,491 is: 608,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,152 : 392,491 = 392,491 : x
  2. Step 2: Convert to fraction form
    253,152/392,491 = 392,491/x
  3. Step 3: Cross multiply
    253,152x = 392,491 × 392,491
  4. Step 4: Simplify right side
    253,152x = 154,049,185,081
  5. Step 5: Solve for x
    x = 154,049,185,081/253,152
  6. Step 6: Final answer
    x = 608,524.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.