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Finding the Third Proportional to 226,678,155.75 and 480,596,733

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Solution

The third proportional to 226,678,155.75 and 480,596,733 is: 1,018,947,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,678,155.75 : 480,596,733 = 480,596,733 : x
  2. Step 2: Convert to fraction form
    226,678,155.75/480,596,733 = 480,596,733/x
  3. Step 3: Cross multiply
    226,678,155.75x = 480,596,733 × 480,596,733
  4. Step 4: Simplify right side
    226,678,155.75x = 230,973,219,770,273,280
  5. Step 5: Solve for x
    x = 230,973,219,770,273,280/226,678,155.75
  6. Step 6: Final answer
    x = 1,018,947,851.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.