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Finding the Third Proportional to 420,354 and 498,114

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Solution

The third proportional to 420,354 and 498,114 is: 590,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,354 : 498,114 = 498,114 : x
  2. Step 2: Convert to fraction form
    420,354/498,114 = 498,114/x
  3. Step 3: Cross multiply
    420,354x = 498,114 × 498,114
  4. Step 4: Simplify right side
    420,354x = 248,117,556,996
  5. Step 5: Solve for x
    x = 248,117,556,996/420,354
  6. Step 6: Final answer
    x = 590,258.58

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.