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Finding the Third Proportional to 1,021,358 and 1,431,219

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Solution

The third proportional to 1,021,358 and 1,431,219 is: 2,005,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,358 : 1,431,219 = 1,431,219 : x
  2. Step 2: Convert to fraction form
    1,021,358/1,431,219 = 1,431,219/x
  3. Step 3: Cross multiply
    1,021,358x = 1,431,219 × 1,431,219
  4. Step 4: Simplify right side
    1,021,358x = 2,048,387,825,961
  5. Step 5: Solve for x
    x = 2,048,387,825,961/1,021,358
  6. Step 6: Final answer
    x = 2,005,553.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.