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Finding the Third Proportional to 492,643.69 and 748,218.09

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Solution

The third proportional to 492,643.69 and 748,218.09 is: 1,136,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,643.69 : 748,218.09 = 748,218.09 : x
  2. Step 2: Convert to fraction form
    492,643.69/748,218.09 = 748,218.09/x
  3. Step 3: Cross multiply
    492,643.69x = 748,218.09 × 748,218.09
  4. Step 4: Simplify right side
    492,643.69x = 559,830,315,814.88
  5. Step 5: Solve for x
    x = 559,830,315,814.88/492,643.69
  6. Step 6: Final answer
    x = 1,136,379.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.