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Finding the Third Proportional to 261,820,615 and 569,609,286

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Solution

The third proportional to 261,820,615 and 569,609,286 is: 1,239,225,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,820,615 : 569,609,286 = 569,609,286 : x
  2. Step 2: Convert to fraction form
    261,820,615/569,609,286 = 569,609,286/x
  3. Step 3: Cross multiply
    261,820,615x = 569,609,286 × 569,609,286
  4. Step 4: Simplify right side
    261,820,615x = 324,454,738,697,429,824
  5. Step 5: Solve for x
    x = 324,454,738,697,429,824/261,820,615
  6. Step 6: Final answer
    x = 1,239,225,332.57

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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.