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Finding the Third Proportional to 425,651 and 634,784.75

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Solution

The third proportional to 425,651 and 634,784.75 is: 946,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,651 : 634,784.75 = 634,784.75 : x
  2. Step 2: Convert to fraction form
    425,651/634,784.75 = 634,784.75/x
  3. Step 3: Cross multiply
    425,651x = 634,784.75 × 634,784.75
  4. Step 4: Simplify right side
    425,651x = 402,951,678,832.56
  5. Step 5: Solve for x
    x = 402,951,678,832.56/425,651
  6. Step 6: Final answer
    x = 946,671.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.