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Finding the Third Proportional to 425,653 and 634,787

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Solution

The third proportional to 425,653 and 634,787 is: 946,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,653 : 634,787 = 634,787 : x
  2. Step 2: Convert to fraction form
    425,653/634,787 = 634,787/x
  3. Step 3: Cross multiply
    425,653x = 634,787 × 634,787
  4. Step 4: Simplify right side
    425,653x = 402,954,535,369
  5. Step 5: Solve for x
    x = 402,954,535,369/425,653
  6. Step 6: Final answer
    x = 946,673.78

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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.