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Finding the Third Proportional to 478,936 and 718,408

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Solution

The third proportional to 478,936 and 718,408 is: 1,077,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,936 : 718,408 = 718,408 : x
  2. Step 2: Convert to fraction form
    478,936/718,408 = 718,408/x
  3. Step 3: Cross multiply
    478,936x = 718,408 × 718,408
  4. Step 4: Simplify right side
    478,936x = 516,110,054,464
  5. Step 5: Solve for x
    x = 516,110,054,464/478,936
  6. Step 6: Final answer
    x = 1,077,618.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.