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Finding the Third Proportional to 53,413 and 86,813

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Solution

The third proportional to 53,413 and 86,813 is: 141,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413 : 86,813 = 86,813 : x
  2. Step 2: Convert to fraction form
    53,413/86,813 = 86,813/x
  3. Step 3: Cross multiply
    53,413x = 86,813 × 86,813
  4. Step 4: Simplify right side
    53,413x = 7,536,496,969
  5. Step 5: Solve for x
    x = 7,536,496,969/53,413
  6. Step 6: Final answer
    x = 141,098.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.