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Finding the Third Proportional to 277,799.63 and 420,572.25

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Solution

The third proportional to 277,799.63 and 420,572.25 is: 636,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,799.63 : 420,572.25 = 420,572.25 : x
  2. Step 2: Convert to fraction form
    277,799.63/420,572.25 = 420,572.25/x
  3. Step 3: Cross multiply
    277,799.63x = 420,572.25 × 420,572.25
  4. Step 4: Simplify right side
    277,799.63x = 176,881,017,470.06
  5. Step 5: Solve for x
    x = 176,881,017,470.06/277,799.63
  6. Step 6: Final answer
    x = 636,721.58

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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.