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Finding the Third Proportional to 338,553 and 514,476

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Solution

The third proportional to 338,553 and 514,476 is: 781,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,553 : 514,476 = 514,476 : x
  2. Step 2: Convert to fraction form
    338,553/514,476 = 514,476/x
  3. Step 3: Cross multiply
    338,553x = 514,476 × 514,476
  4. Step 4: Simplify right side
    338,553x = 264,685,554,576
  5. Step 5: Solve for x
    x = 264,685,554,576/338,553
  6. Step 6: Final answer
    x = 781,814.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.