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Finding the Third Proportional to 448,406 and 655,365

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Solution

The third proportional to 448,406 and 655,365 is: 957,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,406 : 655,365 = 655,365 : x
  2. Step 2: Convert to fraction form
    448,406/655,365 = 655,365/x
  3. Step 3: Cross multiply
    448,406x = 655,365 × 655,365
  4. Step 4: Simplify right side
    448,406x = 429,503,283,225
  5. Step 5: Solve for x
    x = 429,503,283,225/448,406
  6. Step 6: Final answer
    x = 957,844.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.