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Finding the Third Proportional to 130,516 and 281,768

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Solution

The third proportional to 130,516 and 281,768 is: 608,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,516 : 281,768 = 281,768 : x
  2. Step 2: Convert to fraction form
    130,516/281,768 = 281,768/x
  3. Step 3: Cross multiply
    130,516x = 281,768 × 281,768
  4. Step 4: Simplify right side
    130,516x = 79,393,205,824
  5. Step 5: Solve for x
    x = 79,393,205,824/130,516
  6. Step 6: Final answer
    x = 608,302.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.