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Finding the Third Proportional to 425,646.75 and 634,779

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Solution

The third proportional to 425,646.75 and 634,779 is: 946,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,646.75 : 634,779 = 634,779 : x
  2. Step 2: Convert to fraction form
    425,646.75/634,779 = 634,779/x
  3. Step 3: Cross multiply
    425,646.75x = 634,779 × 634,779
  4. Step 4: Simplify right side
    425,646.75x = 402,944,378,841
  5. Step 5: Solve for x
    x = 402,944,378,841/425,646.75
  6. Step 6: Final answer
    x = 946,663.82

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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.