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Finding the Third Proportional to 130,971 and 285,927

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Solution

The third proportional to 130,971 and 285,927 is: 624,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,971 : 285,927 = 285,927 : x
  2. Step 2: Convert to fraction form
    130,971/285,927 = 285,927/x
  3. Step 3: Cross multiply
    130,971x = 285,927 × 285,927
  4. Step 4: Simplify right side
    130,971x = 81,754,249,329
  5. Step 5: Solve for x
    x = 81,754,249,329/130,971
  6. Step 6: Final answer
    x = 624,216.42

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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.