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Finding the Third Proportional to 677,476.41 and 919,637.30

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Solution

The third proportional to 677,476.41 and 919,637.30 is: 1,248,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,476.41 : 919,637.30 = 919,637.30 : x
  2. Step 2: Convert to fraction form
    677,476.41/919,637.30 = 919,637.30/x
  3. Step 3: Cross multiply
    677,476.41x = 919,637.30 × 919,637.30
  4. Step 4: Simplify right side
    677,476.41x = 845,732,757,803.56
  5. Step 5: Solve for x
    x = 845,732,757,803.56/677,476.41
  6. Step 6: Final answer
    x = 1,248,357.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.