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Finding the Third Proportional to 66,894 and 145,783.50

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Solution

The third proportional to 66,894 and 145,783.50 is: 317,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,894 : 145,783.50 = 145,783.50 : x
  2. Step 2: Convert to fraction form
    66,894/145,783.50 = 145,783.50/x
  3. Step 3: Cross multiply
    66,894x = 145,783.50 × 145,783.50
  4. Step 4: Simplify right side
    66,894x = 21,252,828,872.25
  5. Step 5: Solve for x
    x = 21,252,828,872.25/66,894
  6. Step 6: Final answer
    x = 317,709.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.