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Finding the Third Proportional to 69,666 and 148,323

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Solution

The third proportional to 69,666 and 148,323 is: 315,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,666 : 148,323 = 148,323 : x
  2. Step 2: Convert to fraction form
    69,666/148,323 = 148,323/x
  3. Step 3: Cross multiply
    69,666x = 148,323 × 148,323
  4. Step 4: Simplify right side
    69,666x = 21,999,712,329
  5. Step 5: Solve for x
    x = 21,999,712,329/69,666
  6. Step 6: Final answer
    x = 315,788.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.