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Finding the Third Proportional to 296,913.09 and 647,415.28

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Solution

The third proportional to 296,913.09 and 647,415.28 is: 1,411,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,913.09 : 647,415.28 = 647,415.28 : x
  2. Step 2: Convert to fraction form
    296,913.09/647,415.28 = 647,415.28/x
  3. Step 3: Cross multiply
    296,913.09x = 647,415.28 × 647,415.28
  4. Step 4: Simplify right side
    296,913.09x = 419,146,546,396.02
  5. Step 5: Solve for x
    x = 419,146,546,396.02/296,913.09
  6. Step 6: Final answer
    x = 1,411,680.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.