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Finding the Third Proportional to 870,692 and 1,276,230

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Solution

The third proportional to 870,692 and 1,276,230 is: 1,870,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,692 : 1,276,230 = 1,276,230 : x
  2. Step 2: Convert to fraction form
    870,692/1,276,230 = 1,276,230/x
  3. Step 3: Cross multiply
    870,692x = 1,276,230 × 1,276,230
  4. Step 4: Simplify right side
    870,692x = 1,628,763,012,900
  5. Step 5: Solve for x
    x = 1,628,763,012,900/870,692
  6. Step 6: Final answer
    x = 1,870,653.47

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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.