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Finding the Third Proportional to 427,308 and 634,374

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Solution

The third proportional to 427,308 and 634,374 is: 941,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,308 : 634,374 = 634,374 : x
  2. Step 2: Convert to fraction form
    427,308/634,374 = 634,374/x
  3. Step 3: Cross multiply
    427,308x = 634,374 × 634,374
  4. Step 4: Simplify right side
    427,308x = 402,430,371,876
  5. Step 5: Solve for x
    x = 402,430,371,876/427,308
  6. Step 6: Final answer
    x = 941,780.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.