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Finding the Third Proportional to 336,342 and 499,719

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Solution

The third proportional to 336,342 and 499,719 is: 742,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,342 : 499,719 = 499,719 : x
  2. Step 2: Convert to fraction form
    336,342/499,719 = 499,719/x
  3. Step 3: Cross multiply
    336,342x = 499,719 × 499,719
  4. Step 4: Simplify right side
    336,342x = 249,719,078,961
  5. Step 5: Solve for x
    x = 249,719,078,961/336,342
  6. Step 6: Final answer
    x = 742,455.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.