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Finding the Third Proportional to 783,823 and 1,145,489.50

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Solution

The third proportional to 783,823 and 1,145,489.50 is: 1,674,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,823 : 1,145,489.50 = 1,145,489.50 : x
  2. Step 2: Convert to fraction form
    783,823/1,145,489.50 = 1,145,489.50/x
  3. Step 3: Cross multiply
    783,823x = 1,145,489.50 × 1,145,489.50
  4. Step 4: Simplify right side
    783,823x = 1,312,146,194,610.25
  5. Step 5: Solve for x
    x = 1,312,146,194,610.25/783,823
  6. Step 6: Final answer
    x = 1,674,033.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.