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Finding the Third Proportional to 644,415 and 1,412,772

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Solution

The third proportional to 644,415 and 1,412,772 is: 3,097,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,415 : 1,412,772 = 1,412,772 : x
  2. Step 2: Convert to fraction form
    644,415/1,412,772 = 1,412,772/x
  3. Step 3: Cross multiply
    644,415x = 1,412,772 × 1,412,772
  4. Step 4: Simplify right side
    644,415x = 1,995,924,723,984
  5. Step 5: Solve for x
    x = 1,995,924,723,984/644,415
  6. Step 6: Final answer
    x = 3,097,266.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.