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Finding the Third Proportional to 870,838.50 and 1,280,651.25

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Solution

The third proportional to 870,838.50 and 1,280,651.25 is: 1,883,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,838.50 : 1,280,651.25 = 1,280,651.25 : x
  2. Step 2: Convert to fraction form
    870,838.50/1,280,651.25 = 1,280,651.25/x
  3. Step 3: Cross multiply
    870,838.50x = 1,280,651.25 × 1,280,651.25
  4. Step 4: Simplify right side
    870,838.50x = 1,640,067,624,126.56
  5. Step 5: Solve for x
    x = 1,640,067,624,126.56/870,838.50
  6. Step 6: Final answer
    x = 1,883,320.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.