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Finding the Third Proportional to 653,125 and 989,529

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Solution

The third proportional to 653,125 and 989,529 is: 1,499,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,125 : 989,529 = 989,529 : x
  2. Step 2: Convert to fraction form
    653,125/989,529 = 989,529/x
  3. Step 3: Cross multiply
    653,125x = 989,529 × 989,529
  4. Step 4: Simplify right side
    653,125x = 979,167,641,841
  5. Step 5: Solve for x
    x = 979,167,641,841/653,125
  6. Step 6: Final answer
    x = 1,499,204.04

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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.