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Finding the Third Proportional to 454,281.75 and 661,702.50

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Solution

The third proportional to 454,281.75 and 661,702.50 is: 963,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,281.75 : 661,702.50 = 661,702.50 : x
  2. Step 2: Convert to fraction form
    454,281.75/661,702.50 = 661,702.50/x
  3. Step 3: Cross multiply
    454,281.75x = 661,702.50 × 661,702.50
  4. Step 4: Simplify right side
    454,281.75x = 437,850,198,506.25
  5. Step 5: Solve for x
    x = 437,850,198,506.25/454,281.75
  6. Step 6: Final answer
    x = 963,829.60

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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.