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Finding the Third Proportional to 433,720 and 939,840

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Solution

The third proportional to 433,720 and 939,840 is: 2,036,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,720 : 939,840 = 939,840 : x
  2. Step 2: Convert to fraction form
    433,720/939,840 = 939,840/x
  3. Step 3: Cross multiply
    433,720x = 939,840 × 939,840
  4. Step 4: Simplify right side
    433,720x = 883,299,225,600
  5. Step 5: Solve for x
    x = 883,299,225,600/433,720
  6. Step 6: Final answer
    x = 2,036,565.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.