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Finding the Third Proportional to 66,281,654 and 144,036,328

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Solution

The third proportional to 66,281,654 and 144,036,328 is: 313,004,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281,654 : 144,036,328 = 144,036,328 : x
  2. Step 2: Convert to fraction form
    66,281,654/144,036,328 = 144,036,328/x
  3. Step 3: Cross multiply
    66,281,654x = 144,036,328 × 144,036,328
  4. Step 4: Simplify right side
    66,281,654x = 20,746,463,783,723,584
  5. Step 5: Solve for x
    x = 20,746,463,783,723,584/66,281,654
  6. Step 6: Final answer
    x = 313,004,617.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.