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Finding the Third Proportional to 637,376 and 978,347

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Solution

The third proportional to 637,376 and 978,347 is: 1,501,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,376 : 978,347 = 978,347 : x
  2. Step 2: Convert to fraction form
    637,376/978,347 = 978,347/x
  3. Step 3: Cross multiply
    637,376x = 978,347 × 978,347
  4. Step 4: Simplify right side
    637,376x = 957,162,852,409
  5. Step 5: Solve for x
    x = 957,162,852,409/637,376
  6. Step 6: Final answer
    x = 1,501,724.03

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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.