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Finding the Third Proportional to 277,585.73 and 418,430.81

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Solution

The third proportional to 277,585.73 and 418,430.81 is: 630,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,585.73 : 418,430.81 = 418,430.81 : x
  2. Step 2: Convert to fraction form
    277,585.73/418,430.81 = 418,430.81/x
  3. Step 3: Cross multiply
    277,585.73x = 418,430.81 × 418,430.81
  4. Step 4: Simplify right side
    277,585.73x = 175,084,344,849.41
  5. Step 5: Solve for x
    x = 175,084,344,849.41/277,585.73
  6. Step 6: Final answer
    x = 630,739.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.