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Finding the Third Proportional to 417,615.75 and 651,376.69

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Solution

The third proportional to 417,615.75 and 651,376.69 is: 1,015,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,615.75 : 651,376.69 = 651,376.69 : x
  2. Step 2: Convert to fraction form
    417,615.75/651,376.69 = 651,376.69/x
  3. Step 3: Cross multiply
    417,615.75x = 651,376.69 × 651,376.69
  4. Step 4: Simplify right side
    417,615.75x = 424,291,589,018.47
  5. Step 5: Solve for x
    x = 424,291,589,018.47/417,615.75
  6. Step 6: Final answer
    x = 1,015,985.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.