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Finding the Third Proportional to 285,578 and 634,984

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Solution

The third proportional to 285,578 and 634,984 is: 1,411,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,578 : 634,984 = 634,984 : x
  2. Step 2: Convert to fraction form
    285,578/634,984 = 634,984/x
  3. Step 3: Cross multiply
    285,578x = 634,984 × 634,984
  4. Step 4: Simplify right side
    285,578x = 403,204,680,256
  5. Step 5: Solve for x
    x = 403,204,680,256/285,578
  6. Step 6: Final answer
    x = 1,411,889.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.