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Finding the Third Proportional to 507,649 and 758,921

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Solution

The third proportional to 507,649 and 758,921 is: 1,134,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,649 : 758,921 = 758,921 : x
  2. Step 2: Convert to fraction form
    507,649/758,921 = 758,921/x
  3. Step 3: Cross multiply
    507,649x = 758,921 × 758,921
  4. Step 4: Simplify right side
    507,649x = 575,961,084,241
  5. Step 5: Solve for x
    x = 575,961,084,241/507,649
  6. Step 6: Final answer
    x = 1,134,565.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.