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Finding the Third Proportional to 653,040 and 989,416

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Solution

The third proportional to 653,040 and 989,416 is: 1,499,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,040 : 989,416 = 989,416 : x
  2. Step 2: Convert to fraction form
    653,040/989,416 = 989,416/x
  3. Step 3: Cross multiply
    653,040x = 989,416 × 989,416
  4. Step 4: Simplify right side
    653,040x = 978,944,021,056
  5. Step 5: Solve for x
    x = 978,944,021,056/653,040
  6. Step 6: Final answer
    x = 1,499,056.75

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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.