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Finding the Third Proportional to 72,628 and 157,319

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Solution

The third proportional to 72,628 and 157,319 is: 340,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,628 : 157,319 = 157,319 : x
  2. Step 2: Convert to fraction form
    72,628/157,319 = 157,319/x
  3. Step 3: Cross multiply
    72,628x = 157,319 × 157,319
  4. Step 4: Simplify right side
    72,628x = 24,749,267,761
  5. Step 5: Solve for x
    x = 24,749,267,761/72,628
  6. Step 6: Final answer
    x = 340,767.58

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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.