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Finding the Third Proportional to 205,653 and 306,783

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Solution

The third proportional to 205,653 and 306,783 is: 457,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,653 : 306,783 = 306,783 : x
  2. Step 2: Convert to fraction form
    205,653/306,783 = 306,783/x
  3. Step 3: Cross multiply
    205,653x = 306,783 × 306,783
  4. Step 4: Simplify right side
    205,653x = 94,115,809,089
  5. Step 5: Solve for x
    x = 94,115,809,089/205,653
  6. Step 6: Final answer
    x = 457,643.74

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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.