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Finding the Third Proportional to 653,079 and 989,460

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Solution

The third proportional to 653,079 and 989,460 is: 1,499,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,079 : 989,460 = 989,460 : x
  2. Step 2: Convert to fraction form
    653,079/989,460 = 989,460/x
  3. Step 3: Cross multiply
    653,079x = 989,460 × 989,460
  4. Step 4: Simplify right side
    653,079x = 979,031,091,600
  5. Step 5: Solve for x
    x = 979,031,091,600/653,079
  6. Step 6: Final answer
    x = 1,499,100.56

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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.