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Finding the Third Proportional to 66,281,655 and 144,036,330

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Solution

The third proportional to 66,281,655 and 144,036,330 is: 313,004,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281,655 : 144,036,330 = 144,036,330 : x
  2. Step 2: Convert to fraction form
    66,281,655/144,036,330 = 144,036,330/x
  3. Step 3: Cross multiply
    66,281,655x = 144,036,330 × 144,036,330
  4. Step 4: Simplify right side
    66,281,655x = 20,746,464,359,868,900
  5. Step 5: Solve for x
    x = 20,746,464,359,868,900/66,281,655
  6. Step 6: Final answer
    x = 313,004,621.87

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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.