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Finding the Third Proportional to 298,776 and 647,784

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Solution

The third proportional to 298,776 and 647,784 is: 1,404,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,776 : 647,784 = 647,784 : x
  2. Step 2: Convert to fraction form
    298,776/647,784 = 647,784/x
  3. Step 3: Cross multiply
    298,776x = 647,784 × 647,784
  4. Step 4: Simplify right side
    298,776x = 419,624,110,656
  5. Step 5: Solve for x
    x = 419,624,110,656/298,776
  6. Step 6: Final answer
    x = 1,404,477.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.