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Finding the Third Proportional to 642,924.75 and 881,625.75

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Solution

The third proportional to 642,924.75 and 881,625.75 is: 1,208,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,924.75 : 881,625.75 = 881,625.75 : x
  2. Step 2: Convert to fraction form
    642,924.75/881,625.75 = 881,625.75/x
  3. Step 3: Cross multiply
    642,924.75x = 881,625.75 × 881,625.75
  4. Step 4: Simplify right side
    642,924.75x = 777,263,963,063.06
  5. Step 5: Solve for x
    x = 777,263,963,063.06/642,924.75
  6. Step 6: Final answer
    x = 1,208,950.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.