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Finding the Third Proportional to 130,413 and 285,828

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Solution

The third proportional to 130,413 and 285,828 is: 626,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,413 : 285,828 = 285,828 : x
  2. Step 2: Convert to fraction form
    130,413/285,828 = 285,828/x
  3. Step 3: Cross multiply
    130,413x = 285,828 × 285,828
  4. Step 4: Simplify right side
    130,413x = 81,697,645,584
  5. Step 5: Solve for x
    x = 81,697,645,584/130,413
  6. Step 6: Final answer
    x = 626,453.23

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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.