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Finding the Third Proportional to 130,788 and 283,242

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Solution

The third proportional to 130,788 and 283,242 is: 613,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,788 : 283,242 = 283,242 : x
  2. Step 2: Convert to fraction form
    130,788/283,242 = 283,242/x
  3. Step 3: Cross multiply
    130,788x = 283,242 × 283,242
  4. Step 4: Simplify right side
    130,788x = 80,226,030,564
  5. Step 5: Solve for x
    x = 80,226,030,564/130,788
  6. Step 6: Final answer
    x = 613,405.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.