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Finding the Third Proportional to 634,378.50 and 971,662.50

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Solution

The third proportional to 634,378.50 and 971,662.50 is: 1,488,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,378.50 : 971,662.50 = 971,662.50 : x
  2. Step 2: Convert to fraction form
    634,378.50/971,662.50 = 971,662.50/x
  3. Step 3: Cross multiply
    634,378.50x = 971,662.50 × 971,662.50
  4. Step 4: Simplify right side
    634,378.50x = 944,128,013,906.25
  5. Step 5: Solve for x
    x = 944,128,013,906.25/634,378.50
  6. Step 6: Final answer
    x = 1,488,272.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.