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Finding the Third Proportional to 411,254 and 613,470

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Solution

The third proportional to 411,254 and 613,470 is: 915,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,254 : 613,470 = 613,470 : x
  2. Step 2: Convert to fraction form
    411,254/613,470 = 613,470/x
  3. Step 3: Cross multiply
    411,254x = 613,470 × 613,470
  4. Step 4: Simplify right side
    411,254x = 376,345,440,900
  5. Step 5: Solve for x
    x = 376,345,440,900/411,254
  6. Step 6: Final answer
    x = 915,116.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.