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Finding the Third Proportional to 577,254.75 and 905,536.50

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Solution

The third proportional to 577,254.75 and 905,536.50 is: 1,420,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,254.75 : 905,536.50 = 905,536.50 : x
  2. Step 2: Convert to fraction form
    577,254.75/905,536.50 = 905,536.50/x
  3. Step 3: Cross multiply
    577,254.75x = 905,536.50 × 905,536.50
  4. Step 4: Simplify right side
    577,254.75x = 819,996,352,832.25
  5. Step 5: Solve for x
    x = 819,996,352,832.25/577,254.75
  6. Step 6: Final answer
    x = 1,420,510.36

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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.