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Finding the Third Proportional to 285,576 and 634,980

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Solution

The third proportional to 285,576 and 634,980 is: 1,411,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,576 : 634,980 = 634,980 : x
  2. Step 2: Convert to fraction form
    285,576/634,980 = 634,980/x
  3. Step 3: Cross multiply
    285,576x = 634,980 × 634,980
  4. Step 4: Simplify right side
    285,576x = 403,199,600,400
  5. Step 5: Solve for x
    x = 403,199,600,400/285,576
  6. Step 6: Final answer
    x = 1,411,881.95

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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.