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Finding the Third Proportional to 306,822 and 470,946

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Solution

The third proportional to 306,822 and 470,946 is: 722,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,822 : 470,946 = 470,946 : x
  2. Step 2: Convert to fraction form
    306,822/470,946 = 470,946/x
  3. Step 3: Cross multiply
    306,822x = 470,946 × 470,946
  4. Step 4: Simplify right side
    306,822x = 221,790,134,916
  5. Step 5: Solve for x
    x = 221,790,134,916/306,822
  6. Step 6: Final answer
    x = 722,862.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.