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Finding the Third Proportional to 363,816 and 742,428

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Solution

The third proportional to 363,816 and 742,428 is: 1,515,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,816 : 742,428 = 742,428 : x
  2. Step 2: Convert to fraction form
    363,816/742,428 = 742,428/x
  3. Step 3: Cross multiply
    363,816x = 742,428 × 742,428
  4. Step 4: Simplify right side
    363,816x = 551,199,335,184
  5. Step 5: Solve for x
    x = 551,199,335,184/363,816
  6. Step 6: Final answer
    x = 1,515,049.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.