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Finding the Third Proportional to 292,053 and 647,508

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Solution

The third proportional to 292,053 and 647,508 is: 1,435,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,053 : 647,508 = 647,508 : x
  2. Step 2: Convert to fraction form
    292,053/647,508 = 647,508/x
  3. Step 3: Cross multiply
    292,053x = 647,508 × 647,508
  4. Step 4: Simplify right side
    292,053x = 419,266,610,064
  5. Step 5: Solve for x
    x = 419,266,610,064/292,053
  6. Step 6: Final answer
    x = 1,435,583.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.