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Finding the Third Proportional to 345,201 and 714,367

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Solution

The third proportional to 345,201 and 714,367 is: 1,478,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,201 : 714,367 = 714,367 : x
  2. Step 2: Convert to fraction form
    345,201/714,367 = 714,367/x
  3. Step 3: Cross multiply
    345,201x = 714,367 × 714,367
  4. Step 4: Simplify right side
    345,201x = 510,320,210,689
  5. Step 5: Solve for x
    x = 510,320,210,689/345,201
  6. Step 6: Final answer
    x = 1,478,327.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.