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Finding the Third Proportional to 506,403.75 and 783,866.25

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Solution

The third proportional to 506,403.75 and 783,866.25 is: 1,213,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,403.75 : 783,866.25 = 783,866.25 : x
  2. Step 2: Convert to fraction form
    506,403.75/783,866.25 = 783,866.25/x
  3. Step 3: Cross multiply
    506,403.75x = 783,866.25 × 783,866.25
  4. Step 4: Simplify right side
    506,403.75x = 614,446,297,889.06
  5. Step 5: Solve for x
    x = 614,446,297,889.06/506,403.75
  6. Step 6: Final answer
    x = 1,213,352.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.