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Finding the Third Proportional to 278,901 and 604,167.75

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Solution

The third proportional to 278,901 and 604,167.75 is: 1,308,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,901 : 604,167.75 = 604,167.75 : x
  2. Step 2: Convert to fraction form
    278,901/604,167.75 = 604,167.75/x
  3. Step 3: Cross multiply
    278,901x = 604,167.75 × 604,167.75
  4. Step 4: Simplify right side
    278,901x = 365,018,670,140.06
  5. Step 5: Solve for x
    x = 365,018,670,140.06/278,901
  6. Step 6: Final answer
    x = 1,308,775.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.