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Finding the Third Proportional to 421,374 and 782,970

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Solution

The third proportional to 421,374 and 782,970 is: 1,454,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,374 : 782,970 = 782,970 : x
  2. Step 2: Convert to fraction form
    421,374/782,970 = 782,970/x
  3. Step 3: Cross multiply
    421,374x = 782,970 × 782,970
  4. Step 4: Simplify right side
    421,374x = 613,042,020,900
  5. Step 5: Solve for x
    x = 613,042,020,900/421,374
  6. Step 6: Final answer
    x = 1,454,864.37

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.