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Finding the Third Proportional to 281,943 and 634,860

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Solution

The third proportional to 281,943 and 634,860 is: 1,429,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,943 : 634,860 = 634,860 : x
  2. Step 2: Convert to fraction form
    281,943/634,860 = 634,860/x
  3. Step 3: Cross multiply
    281,943x = 634,860 × 634,860
  4. Step 4: Simplify right side
    281,943x = 403,047,219,600
  5. Step 5: Solve for x
    x = 403,047,219,600/281,943
  6. Step 6: Final answer
    x = 1,429,534.41

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.