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Finding the Third Proportional to 130,284 and 285,507

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Solution

The third proportional to 130,284 and 285,507 is: 625,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284 : 285,507 = 285,507 : x
  2. Step 2: Convert to fraction form
    130,284/285,507 = 285,507/x
  3. Step 3: Cross multiply
    130,284x = 285,507 × 285,507
  4. Step 4: Simplify right side
    130,284x = 81,514,247,049
  5. Step 5: Solve for x
    x = 81,514,247,049/130,284
  6. Step 6: Final answer
    x = 625,665.83

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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.