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Finding the Third Proportional to 314,016 and 485,136

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Solution

The third proportional to 314,016 and 485,136 is: 749,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,016 : 485,136 = 485,136 : x
  2. Step 2: Convert to fraction form
    314,016/485,136 = 485,136/x
  3. Step 3: Cross multiply
    314,016x = 485,136 × 485,136
  4. Step 4: Simplify right side
    314,016x = 235,356,938,496
  5. Step 5: Solve for x
    x = 235,356,938,496/314,016
  6. Step 6: Final answer
    x = 749,506.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.