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Finding the Third Proportional to 462,028 and 677,040

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Solution

The third proportional to 462,028 and 677,040 is: 992,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,028 : 677,040 = 677,040 : x
  2. Step 2: Convert to fraction form
    462,028/677,040 = 677,040/x
  3. Step 3: Cross multiply
    462,028x = 677,040 × 677,040
  4. Step 4: Simplify right side
    462,028x = 458,383,161,600
  5. Step 5: Solve for x
    x = 458,383,161,600/462,028
  6. Step 6: Final answer
    x = 992,111.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.