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Finding the Third Proportional to 77,905,970 and 166,618,628

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Solution

The third proportional to 77,905,970 and 166,618,628 is: 356,349,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,905,970 : 166,618,628 = 166,618,628 : x
  2. Step 2: Convert to fraction form
    77,905,970/166,618,628 = 166,618,628/x
  3. Step 3: Cross multiply
    77,905,970x = 166,618,628 × 166,618,628
  4. Step 4: Simplify right side
    77,905,970x = 27,761,767,196,602,384
  5. Step 5: Solve for x
    x = 27,761,767,196,602,384/77,905,970
  6. Step 6: Final answer
    x = 356,349,676.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.