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Finding the Third Proportional to 873,408 and 1,388,840

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Solution

The third proportional to 873,408 and 1,388,840 is: 2,208,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,408 : 1,388,840 = 1,388,840 : x
  2. Step 2: Convert to fraction form
    873,408/1,388,840 = 1,388,840/x
  3. Step 3: Cross multiply
    873,408x = 1,388,840 × 1,388,840
  4. Step 4: Simplify right side
    873,408x = 1,928,876,545,600
  5. Step 5: Solve for x
    x = 1,928,876,545,600/873,408
  6. Step 6: Final answer
    x = 2,208,448.45

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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.