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Finding the Third Proportional to 653,000 and 989,376

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Solution

The third proportional to 653,000 and 989,376 is: 1,499,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,000 : 989,376 = 989,376 : x
  2. Step 2: Convert to fraction form
    653,000/989,376 = 989,376/x
  3. Step 3: Cross multiply
    653,000x = 989,376 × 989,376
  4. Step 4: Simplify right side
    653,000x = 978,864,869,376
  5. Step 5: Solve for x
    x = 978,864,869,376/653,000
  6. Step 6: Final answer
    x = 1,499,027.37

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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.