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Finding the Third Proportional to 145,718 and 231,706

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Solution

The third proportional to 145,718 and 231,706 is: 368,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,718 : 231,706 = 231,706 : x
  2. Step 2: Convert to fraction form
    145,718/231,706 = 231,706/x
  3. Step 3: Cross multiply
    145,718x = 231,706 × 231,706
  4. Step 4: Simplify right side
    145,718x = 53,687,670,436
  5. Step 5: Solve for x
    x = 53,687,670,436/145,718
  6. Step 6: Final answer
    x = 368,435.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.