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Finding the Third Proportional to 661,413 and 989,537

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Solution

The third proportional to 661,413 and 989,537 is: 1,480,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,413 : 989,537 = 989,537 : x
  2. Step 2: Convert to fraction form
    661,413/989,537 = 989,537/x
  3. Step 3: Cross multiply
    661,413x = 989,537 × 989,537
  4. Step 4: Simplify right side
    661,413x = 979,183,474,369
  5. Step 5: Solve for x
    x = 979,183,474,369/661,413
  6. Step 6: Final answer
    x = 1,480,441.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.