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Finding the Third Proportional to 540,906 and 840,841

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Solution

The third proportional to 540,906 and 840,841 is: 1,307,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,906 : 840,841 = 840,841 : x
  2. Step 2: Convert to fraction form
    540,906/840,841 = 840,841/x
  3. Step 3: Cross multiply
    540,906x = 840,841 × 840,841
  4. Step 4: Simplify right side
    540,906x = 707,013,587,281
  5. Step 5: Solve for x
    x = 707,013,587,281/540,906
  6. Step 6: Final answer
    x = 1,307,091.41

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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.