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Finding the Third Proportional to 661,355.75 and 989,462.50

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Solution

The third proportional to 661,355.75 and 989,462.50 is: 1,480,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,355.75 : 989,462.50 = 989,462.50 : x
  2. Step 2: Convert to fraction form
    661,355.75/989,462.50 = 989,462.50/x
  3. Step 3: Cross multiply
    661,355.75x = 989,462.50 × 989,462.50
  4. Step 4: Simplify right side
    661,355.75x = 979,036,038,906.25
  5. Step 5: Solve for x
    x = 979,036,038,906.25/661,355.75
  6. Step 6: Final answer
    x = 1,480,347.06

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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.