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Finding the Third Proportional to 278,502.75 and 406,017.75

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Solution

The third proportional to 278,502.75 and 406,017.75 is: 591,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,502.75 : 406,017.75 = 406,017.75 : x
  2. Step 2: Convert to fraction form
    278,502.75/406,017.75 = 406,017.75/x
  3. Step 3: Cross multiply
    278,502.75x = 406,017.75 × 406,017.75
  4. Step 4: Simplify right side
    278,502.75x = 164,850,413,315.06
  5. Step 5: Solve for x
    x = 164,850,413,315.06/278,502.75
  6. Step 6: Final answer
    x = 591,916.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.