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Finding the Third Proportional to 540,932 and 840,878

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Solution

The third proportional to 540,932 and 840,878 is: 1,307,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,932 : 840,878 = 840,878 : x
  2. Step 2: Convert to fraction form
    540,932/840,878 = 840,878/x
  3. Step 3: Cross multiply
    540,932x = 840,878 × 840,878
  4. Step 4: Simplify right side
    540,932x = 707,075,810,884
  5. Step 5: Solve for x
    x = 707,075,810,884/540,932
  6. Step 6: Final answer
    x = 1,307,143.62

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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.