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Finding the Third Proportional to 691,270 and 988,521

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Solution

The third proportional to 691,270 and 988,521 is: 1,413,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,270 : 988,521 = 988,521 : x
  2. Step 2: Convert to fraction form
    691,270/988,521 = 988,521/x
  3. Step 3: Cross multiply
    691,270x = 988,521 × 988,521
  4. Step 4: Simplify right side
    691,270x = 977,173,767,441
  5. Step 5: Solve for x
    x = 977,173,767,441/691,270
  6. Step 6: Final answer
    x = 1,413,592.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.