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Finding the Third Proportional to 306,606 and 470,913

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Solution

The third proportional to 306,606 and 470,913 is: 723,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,606 : 470,913 = 470,913 : x
  2. Step 2: Convert to fraction form
    306,606/470,913 = 470,913/x
  3. Step 3: Cross multiply
    306,606x = 470,913 × 470,913
  4. Step 4: Simplify right side
    306,606x = 221,759,053,569
  5. Step 5: Solve for x
    x = 221,759,053,569/306,606
  6. Step 6: Final answer
    x = 723,270.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.