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Finding the Third Proportional to 329,439 and 719,297

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Solution

The third proportional to 329,439 and 719,297 is: 1,570,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,439 : 719,297 = 719,297 : x
  2. Step 2: Convert to fraction form
    329,439/719,297 = 719,297/x
  3. Step 3: Cross multiply
    329,439x = 719,297 × 719,297
  4. Step 4: Simplify right side
    329,439x = 517,388,174,209
  5. Step 5: Solve for x
    x = 517,388,174,209/329,439
  6. Step 6: Final answer
    x = 1,570,512.82

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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.