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Finding the Third Proportional to 621,072 and 934,720

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Solution

The third proportional to 621,072 and 934,720 is: 1,406,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,072 : 934,720 = 934,720 : x
  2. Step 2: Convert to fraction form
    621,072/934,720 = 934,720/x
  3. Step 3: Cross multiply
    621,072x = 934,720 × 934,720
  4. Step 4: Simplify right side
    621,072x = 873,701,478,400
  5. Step 5: Solve for x
    x = 873,701,478,400/621,072
  6. Step 6: Final answer
    x = 1,406,763.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.