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Finding the Third Proportional to 642,922.88 and 881,623.13

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Solution

The third proportional to 642,922.88 and 881,623.13 is: 1,208,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,922.88 : 881,623.13 = 881,623.13 : x
  2. Step 2: Convert to fraction form
    642,922.88/881,623.13 = 881,623.13/x
  3. Step 3: Cross multiply
    642,922.88x = 881,623.13 × 881,623.13
  4. Step 4: Simplify right side
    642,922.88x = 777,259,334,534.77
  5. Step 5: Solve for x
    x = 777,259,334,534.77/642,922.88
  6. Step 6: Final answer
    x = 1,208,946.46

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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.