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Finding the Third Proportional to 306,921 and 723,490

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Solution

The third proportional to 306,921 and 723,490 is: 1,705,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,921 : 723,490 = 723,490 : x
  2. Step 2: Convert to fraction form
    306,921/723,490 = 723,490/x
  3. Step 3: Cross multiply
    306,921x = 723,490 × 723,490
  4. Step 4: Simplify right side
    306,921x = 523,437,780,100
  5. Step 5: Solve for x
    x = 523,437,780,100/306,921
  6. Step 6: Final answer
    x = 1,705,447.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.