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Finding the Third Proportional to 637,824 and 1,387,743

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Solution

The third proportional to 637,824 and 1,387,743 is: 3,019,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,824 : 1,387,743 = 1,387,743 : x
  2. Step 2: Convert to fraction form
    637,824/1,387,743 = 1,387,743/x
  3. Step 3: Cross multiply
    637,824x = 1,387,743 × 1,387,743
  4. Step 4: Simplify right side
    637,824x = 1,925,830,634,049
  5. Step 5: Solve for x
    x = 1,925,830,634,049/637,824
  6. Step 6: Final answer
    x = 3,019,376.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.