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Finding the Third Proportional to 653,032 and 989,406

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Solution

The third proportional to 653,032 and 989,406 is: 1,499,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,032 : 989,406 = 989,406 : x
  2. Step 2: Convert to fraction form
    653,032/989,406 = 989,406/x
  3. Step 3: Cross multiply
    653,032x = 989,406 × 989,406
  4. Step 4: Simplify right side
    653,032x = 978,924,232,836
  5. Step 5: Solve for x
    x = 978,924,232,836/653,032
  6. Step 6: Final answer
    x = 1,499,044.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.