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Finding the Third Proportional to 103,602,240 and 149,674,848

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Solution

The third proportional to 103,602,240 and 149,674,848 is: 216,236,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,602,240 : 149,674,848 = 149,674,848 : x
  2. Step 2: Convert to fraction form
    103,602,240/149,674,848 = 149,674,848/x
  3. Step 3: Cross multiply
    103,602,240x = 149,674,848 × 149,674,848
  4. Step 4: Simplify right side
    103,602,240x = 22,402,560,123,823,104
  5. Step 5: Solve for x
    x = 22,402,560,123,823,104/103,602,240
  6. Step 6: Final answer
    x = 216,236,252.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.