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Finding the Third Proportional to 448,458.75 and 655,420.50

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Solution

The third proportional to 448,458.75 and 655,420.50 is: 957,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,458.75 : 655,420.50 = 655,420.50 : x
  2. Step 2: Convert to fraction form
    448,458.75/655,420.50 = 655,420.50/x
  3. Step 3: Cross multiply
    448,458.75x = 655,420.50 × 655,420.50
  4. Step 4: Simplify right side
    448,458.75x = 429,576,031,820.25
  5. Step 5: Solve for x
    x = 429,576,031,820.25/448,458.75
  6. Step 6: Final answer
    x = 957,894.19

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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.