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Finding the Third Proportional to 420,352 and 498,112

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Solution

The third proportional to 420,352 and 498,112 is: 590,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,352 : 498,112 = 498,112 : x
  2. Step 2: Convert to fraction form
    420,352/498,112 = 498,112/x
  3. Step 3: Cross multiply
    420,352x = 498,112 × 498,112
  4. Step 4: Simplify right side
    420,352x = 248,115,564,544
  5. Step 5: Solve for x
    x = 248,115,564,544/420,352
  6. Step 6: Final answer
    x = 590,256.65

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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.