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Finding the Third Proportional to 653,001 and 989,378

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Solution

The third proportional to 653,001 and 989,378 is: 1,499,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,001 : 989,378 = 989,378 : x
  2. Step 2: Convert to fraction form
    653,001/989,378 = 989,378/x
  3. Step 3: Cross multiply
    653,001x = 989,378 × 989,378
  4. Step 4: Simplify right side
    653,001x = 978,868,826,884
  5. Step 5: Solve for x
    x = 978,868,826,884/653,001
  6. Step 6: Final answer
    x = 1,499,031.13

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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.