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Finding the Third Proportional to 338,478 and 720,423

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Solution

The third proportional to 338,478 and 720,423 is: 1,533,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,478 : 720,423 = 720,423 : x
  2. Step 2: Convert to fraction form
    338,478/720,423 = 720,423/x
  3. Step 3: Cross multiply
    338,478x = 720,423 × 720,423
  4. Step 4: Simplify right side
    338,478x = 519,009,298,929
  5. Step 5: Solve for x
    x = 519,009,298,929/338,478
  6. Step 6: Final answer
    x = 1,533,361.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.