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Finding the Third Proportional to 864,729 and 1,374,078

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Solution

The third proportional to 864,729 and 1,374,078 is: 2,183,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,729 : 1,374,078 = 1,374,078 : x
  2. Step 2: Convert to fraction form
    864,729/1,374,078 = 1,374,078/x
  3. Step 3: Cross multiply
    864,729x = 1,374,078 × 1,374,078
  4. Step 4: Simplify right side
    864,729x = 1,888,090,350,084
  5. Step 5: Solve for x
    x = 1,888,090,350,084/864,729
  6. Step 6: Final answer
    x = 2,183,447.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.