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Finding the Third Proportional to 644,219 and 1,455,473

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Solution

The third proportional to 644,219 and 1,455,473 is: 3,288,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,219 : 1,455,473 = 1,455,473 : x
  2. Step 2: Convert to fraction form
    644,219/1,455,473 = 1,455,473/x
  3. Step 3: Cross multiply
    644,219x = 1,455,473 × 1,455,473
  4. Step 4: Simplify right side
    644,219x = 2,118,401,653,729
  5. Step 5: Solve for x
    x = 2,118,401,653,729/644,219
  6. Step 6: Final answer
    x = 3,288,325.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.