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Finding the Third Proportional to 70,706 and 148,683

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Solution

The third proportional to 70,706 and 148,683 is: 312,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706 : 148,683 = 148,683 : x
  2. Step 2: Convert to fraction form
    70,706/148,683 = 148,683/x
  3. Step 3: Cross multiply
    70,706x = 148,683 × 148,683
  4. Step 4: Simplify right side
    70,706x = 22,106,634,489
  5. Step 5: Solve for x
    x = 22,106,634,489/70,706
  6. Step 6: Final answer
    x = 312,655.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.