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Finding the Third Proportional to 346,308 and 720,324

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Solution

The third proportional to 346,308 and 720,324 is: 1,498,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,308 : 720,324 = 720,324 : x
  2. Step 2: Convert to fraction form
    346,308/720,324 = 720,324/x
  3. Step 3: Cross multiply
    346,308x = 720,324 × 720,324
  4. Step 4: Simplify right side
    346,308x = 518,866,664,976
  5. Step 5: Solve for x
    x = 518,866,664,976/346,308
  6. Step 6: Final answer
    x = 1,498,280.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.