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Finding the Third Proportional to 873,276 and 1,388,640

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Solution

The third proportional to 873,276 and 1,388,640 is: 2,208,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,276 : 1,388,640 = 1,388,640 : x
  2. Step 2: Convert to fraction form
    873,276/1,388,640 = 1,388,640/x
  3. Step 3: Cross multiply
    873,276x = 1,388,640 × 1,388,640
  4. Step 4: Simplify right side
    873,276x = 1,928,321,049,600
  5. Step 5: Solve for x
    x = 1,928,321,049,600/873,276
  6. Step 6: Final answer
    x = 2,208,146.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.