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Finding the Third Proportional to 577,254.75 and 905,532

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Solution

The third proportional to 577,254.75 and 905,532 is: 1,420,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,254.75 : 905,532 = 905,532 : x
  2. Step 2: Convert to fraction form
    577,254.75/905,532 = 905,532/x
  3. Step 3: Cross multiply
    577,254.75x = 905,532 × 905,532
  4. Step 4: Simplify right side
    577,254.75x = 819,988,203,024
  5. Step 5: Solve for x
    x = 819,988,203,024/577,254.75
  6. Step 6: Final answer
    x = 1,420,496.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.