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Finding the Third Proportional to 419,937 and 651,306

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Solution

The third proportional to 419,937 and 651,306 is: 1,010,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,937 : 651,306 = 651,306 : x
  2. Step 2: Convert to fraction form
    419,937/651,306 = 651,306/x
  3. Step 3: Cross multiply
    419,937x = 651,306 × 651,306
  4. Step 4: Simplify right side
    419,937x = 424,199,505,636
  5. Step 5: Solve for x
    x = 424,199,505,636/419,937
  6. Step 6: Final answer
    x = 1,010,150.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.