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Finding the Third Proportional to 870,848.25 and 1,280,662.50

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Solution

The third proportional to 870,848.25 and 1,280,662.50 is: 1,883,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,848.25 : 1,280,662.50 = 1,280,662.50 : x
  2. Step 2: Convert to fraction form
    870,848.25/1,280,662.50 = 1,280,662.50/x
  3. Step 3: Cross multiply
    870,848.25x = 1,280,662.50 × 1,280,662.50
  4. Step 4: Simplify right side
    870,848.25x = 1,640,096,438,906.25
  5. Step 5: Solve for x
    x = 1,640,096,438,906.25/870,848.25
  6. Step 6: Final answer
    x = 1,883,332.07

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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.