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Finding the Third Proportional to 423,056.25 and 655,355.25

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Solution

The third proportional to 423,056.25 and 655,355.25 is: 1,015,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,056.25 : 655,355.25 = 655,355.25 : x
  2. Step 2: Convert to fraction form
    423,056.25/655,355.25 = 655,355.25/x
  3. Step 3: Cross multiply
    423,056.25x = 655,355.25 × 655,355.25
  4. Step 4: Simplify right side
    423,056.25x = 429,490,503,702.56
  5. Step 5: Solve for x
    x = 429,490,503,702.56/423,056.25
  6. Step 6: Final answer
    x = 1,015,208.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.