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Finding the Third Proportional to 30,774,326 and 66,655,468

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Solution

The third proportional to 30,774,326 and 66,655,468 is: 144,372,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774,326 : 66,655,468 = 66,655,468 : x
  2. Step 2: Convert to fraction form
    30,774,326/66,655,468 = 66,655,468/x
  3. Step 3: Cross multiply
    30,774,326x = 66,655,468 × 66,655,468
  4. Step 4: Simplify right side
    30,774,326x = 4,442,951,414,299,024
  5. Step 5: Solve for x
    x = 4,442,951,414,299,024/30,774,326
  6. Step 6: Final answer
    x = 144,372,013.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.