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Finding the Third Proportional to 810,729 and 1,255,428

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Solution

The third proportional to 810,729 and 1,255,428 is: 1,944,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,729 : 1,255,428 = 1,255,428 : x
  2. Step 2: Convert to fraction form
    810,729/1,255,428 = 1,255,428/x
  3. Step 3: Cross multiply
    810,729x = 1,255,428 × 1,255,428
  4. Step 4: Simplify right side
    810,729x = 1,576,099,463,184
  5. Step 5: Solve for x
    x = 1,576,099,463,184/810,729
  6. Step 6: Final answer
    x = 1,944,052.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.