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Finding the Third Proportional to 677,087 and 1,028,928

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Solution

The third proportional to 677,087 and 1,028,928 is: 1,563,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,087 : 1,028,928 = 1,028,928 : x
  2. Step 2: Convert to fraction form
    677,087/1,028,928 = 1,028,928/x
  3. Step 3: Cross multiply
    677,087x = 1,028,928 × 1,028,928
  4. Step 4: Simplify right side
    677,087x = 1,058,692,829,184
  5. Step 5: Solve for x
    x = 1,058,692,829,184/677,087
  6. Step 6: Final answer
    x = 1,563,599.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.