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Finding the Third Proportional to 70,356 and 150,553

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Solution

The third proportional to 70,356 and 150,553 is: 322,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,356 : 150,553 = 150,553 : x
  2. Step 2: Convert to fraction form
    70,356/150,553 = 150,553/x
  3. Step 3: Cross multiply
    70,356x = 150,553 × 150,553
  4. Step 4: Simplify right side
    70,356x = 22,666,205,809
  5. Step 5: Solve for x
    x = 22,666,205,809/70,356
  6. Step 6: Final answer
    x = 322,164.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.