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Finding the Third Proportional to 226,678,196 and 480,596,818

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Solution

The third proportional to 226,678,196 and 480,596,818 is: 1,018,948,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,678,196 : 480,596,818 = 480,596,818 : x
  2. Step 2: Convert to fraction form
    226,678,196/480,596,818 = 480,596,818/x
  3. Step 3: Cross multiply
    226,678,196x = 480,596,818 × 480,596,818
  4. Step 4: Simplify right side
    226,678,196x = 230,973,301,471,725,120
  5. Step 5: Solve for x
    x = 230,973,301,471,725,120/226,678,196
  6. Step 6: Final answer
    x = 1,018,948,030.94

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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.