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Finding the Third Proportional to 320,270 and 498,550

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Solution

The third proportional to 320,270 and 498,550 is: 776,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,270 : 498,550 = 498,550 : x
  2. Step 2: Convert to fraction form
    320,270/498,550 = 498,550/x
  3. Step 3: Cross multiply
    320,270x = 498,550 × 498,550
  4. Step 4: Simplify right side
    320,270x = 248,552,102,500
  5. Step 5: Solve for x
    x = 248,552,102,500/320,270
  6. Step 6: Final answer
    x = 776,070.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.