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Finding the Third Proportional to 540,936 and 840,886

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Solution

The third proportional to 540,936 and 840,886 is: 1,307,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,936 : 840,886 = 840,886 : x
  2. Step 2: Convert to fraction form
    540,936/840,886 = 840,886/x
  3. Step 3: Cross multiply
    540,936x = 840,886 × 840,886
  4. Step 4: Simplify right side
    540,936x = 707,089,264,996
  5. Step 5: Solve for x
    x = 707,089,264,996/540,936
  6. Step 6: Final answer
    x = 1,307,158.82

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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.