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Finding the Third Proportional to 66,510 and 147,783

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Solution

The third proportional to 66,510 and 147,783 is: 328,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,510 : 147,783 = 147,783 : x
  2. Step 2: Convert to fraction form
    66,510/147,783 = 147,783/x
  3. Step 3: Cross multiply
    66,510x = 147,783 × 147,783
  4. Step 4: Simplify right side
    66,510x = 21,839,815,089
  5. Step 5: Solve for x
    x = 21,839,815,089/66,510
  6. Step 6: Final answer
    x = 328,368.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.