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Finding the Third Proportional to 448,455 and 655,416

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Solution

The third proportional to 448,455 and 655,416 is: 957,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,455 : 655,416 = 655,416 : x
  2. Step 2: Convert to fraction form
    448,455/655,416 = 655,416/x
  3. Step 3: Cross multiply
    448,455x = 655,416 × 655,416
  4. Step 4: Simplify right side
    448,455x = 429,570,133,056
  5. Step 5: Solve for x
    x = 429,570,133,056/448,455
  6. Step 6: Final answer
    x = 957,889.05

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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.