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Finding the Third Proportional to 447,232 and 977,408

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Solution

The third proportional to 447,232 and 977,408 is: 2,136,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,232 : 977,408 = 977,408 : x
  2. Step 2: Convert to fraction form
    447,232/977,408 = 977,408/x
  3. Step 3: Cross multiply
    447,232x = 977,408 × 977,408
  4. Step 4: Simplify right side
    447,232x = 955,326,398,464
  5. Step 5: Solve for x
    x = 955,326,398,464/447,232
  6. Step 6: Final answer
    x = 2,136,086.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.