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Finding the Third Proportional to 130,205 and 285,337

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Solution

The third proportional to 130,205 and 285,337 is: 625,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,205 : 285,337 = 285,337 : x
  2. Step 2: Convert to fraction form
    130,205/285,337 = 285,337/x
  3. Step 3: Cross multiply
    130,205x = 285,337 × 285,337
  4. Step 4: Simplify right side
    130,205x = 81,417,203,569
  5. Step 5: Solve for x
    x = 81,417,203,569/130,205
  6. Step 6: Final answer
    x = 625,300.13

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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.