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Finding the Third Proportional to 320,604 and 498,407

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Solution

The third proportional to 320,604 and 498,407 is: 774,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,604 : 498,407 = 498,407 : x
  2. Step 2: Convert to fraction form
    320,604/498,407 = 498,407/x
  3. Step 3: Cross multiply
    320,604x = 498,407 × 498,407
  4. Step 4: Simplify right side
    320,604x = 248,409,537,649
  5. Step 5: Solve for x
    x = 248,409,537,649/320,604
  6. Step 6: Final answer
    x = 774,817.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.