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Finding the Third Proportional to 553,120.75 and 869,121

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Solution

The third proportional to 553,120.75 and 869,121 is: 1,365,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,120.75 : 869,121 = 869,121 : x
  2. Step 2: Convert to fraction form
    553,120.75/869,121 = 869,121/x
  3. Step 3: Cross multiply
    553,120.75x = 869,121 × 869,121
  4. Step 4: Simplify right side
    553,120.75x = 755,371,312,641
  5. Step 5: Solve for x
    x = 755,371,312,641/553,120.75
  6. Step 6: Final answer
    x = 1,365,653.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.