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Finding the Third Proportional to 419,964.75 and 651,346.31

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Solution

The third proportional to 419,964.75 and 651,346.31 is: 1,010,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,964.75 : 651,346.31 = 651,346.31 : x
  2. Step 2: Convert to fraction form
    419,964.75/651,346.31 = 651,346.31/x
  3. Step 3: Cross multiply
    419,964.75x = 651,346.31 × 651,346.31
  4. Step 4: Simplify right side
    419,964.75x = 424,252,018,807.35
  5. Step 5: Solve for x
    x = 424,252,018,807.35/419,964.75
  6. Step 6: Final answer
    x = 1,010,208.64

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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.