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Finding the Third Proportional to 530,203,580 and 1,115,352,256

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Solution

The third proportional to 530,203,580 and 1,115,352,256 is: 2,346,288,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,203,580 : 1,115,352,256 = 1,115,352,256 : x
  2. Step 2: Convert to fraction form
    530,203,580/1,115,352,256 = 1,115,352,256/x
  3. Step 3: Cross multiply
    530,203,580x = 1,115,352,256 × 1,115,352,256
  4. Step 4: Simplify right side
    530,203,580x = 1,244,010,654,964,289,536
  5. Step 5: Solve for x
    x = 1,244,010,654,964,289,536/530,203,580
  6. Step 6: Final answer
    x = 2,346,288,674.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.