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Finding the Third Proportional to 165,977,640 and 266,680,836

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Solution

The third proportional to 165,977,640 and 266,680,836 is: 428,483,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,977,640 : 266,680,836 = 266,680,836 : x
  2. Step 2: Convert to fraction form
    165,977,640/266,680,836 = 266,680,836/x
  3. Step 3: Cross multiply
    165,977,640x = 266,680,836 × 266,680,836
  4. Step 4: Simplify right side
    165,977,640x = 71,118,668,289,658,896
  5. Step 5: Solve for x
    x = 71,118,668,289,658,896/165,977,640
  6. Step 6: Final answer
    x = 428,483,428.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.