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Finding the Third Proportional to 653,022 and 989,391

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Solution

The third proportional to 653,022 and 989,391 is: 1,499,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,022 : 989,391 = 989,391 : x
  2. Step 2: Convert to fraction form
    653,022/989,391 = 989,391/x
  3. Step 3: Cross multiply
    653,022x = 989,391 × 989,391
  4. Step 4: Simplify right side
    653,022x = 978,894,550,881
  5. Step 5: Solve for x
    x = 978,894,550,881/653,022
  6. Step 6: Final answer
    x = 1,499,022.32

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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.