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Finding the Third Proportional to 70,447 and 152,637

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Solution

The third proportional to 70,447 and 152,637 is: 330,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,447 : 152,637 = 152,637 : x
  2. Step 2: Convert to fraction form
    70,447/152,637 = 152,637/x
  3. Step 3: Cross multiply
    70,447x = 152,637 × 152,637
  4. Step 4: Simplify right side
    70,447x = 23,298,053,769
  5. Step 5: Solve for x
    x = 23,298,053,769/70,447
  6. Step 6: Final answer
    x = 330,717.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.