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Finding the Third Proportional to 432,221.50 and 634,319

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Solution

The third proportional to 432,221.50 and 634,319 is: 930,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,221.50 : 634,319 = 634,319 : x
  2. Step 2: Convert to fraction form
    432,221.50/634,319 = 634,319/x
  3. Step 3: Cross multiply
    432,221.50x = 634,319 × 634,319
  4. Step 4: Simplify right side
    432,221.50x = 402,360,593,761
  5. Step 5: Solve for x
    x = 402,360,593,761/432,221.50
  6. Step 6: Final answer
    x = 930,912.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.