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Finding the Third Proportional to 53,458 and 115,472

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Solution

The third proportional to 53,458 and 115,472 is: 249,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,458 : 115,472 = 115,472 : x
  2. Step 2: Convert to fraction form
    53,458/115,472 = 115,472/x
  3. Step 3: Cross multiply
    53,458x = 115,472 × 115,472
  4. Step 4: Simplify right side
    53,458x = 13,333,782,784
  5. Step 5: Solve for x
    x = 13,333,782,784/53,458
  6. Step 6: Final answer
    x = 249,425.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.