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Finding the Third Proportional to 130,208 and 285,344

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Solution

The third proportional to 130,208 and 285,344 is: 625,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,208 : 285,344 = 285,344 : x
  2. Step 2: Convert to fraction form
    130,208/285,344 = 285,344/x
  3. Step 3: Cross multiply
    130,208x = 285,344 × 285,344
  4. Step 4: Simplify right side
    130,208x = 81,421,198,336
  5. Step 5: Solve for x
    x = 81,421,198,336/130,208
  6. Step 6: Final answer
    x = 625,316.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.