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Finding the Third Proportional to 661,286 and 989,369

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Solution

The third proportional to 661,286 and 989,369 is: 1,480,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,286 : 989,369 = 989,369 : x
  2. Step 2: Convert to fraction form
    661,286/989,369 = 989,369/x
  3. Step 3: Cross multiply
    661,286x = 989,369 × 989,369
  4. Step 4: Simplify right side
    661,286x = 978,851,018,161
  5. Step 5: Solve for x
    x = 978,851,018,161/661,286
  6. Step 6: Final answer
    x = 1,480,223.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.