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Finding the Third Proportional to 81,030,283 and 177,809,692

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Solution

The third proportional to 81,030,283 and 177,809,692 is: 390,178,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,030,283 : 177,809,692 = 177,809,692 : x
  2. Step 2: Convert to fraction form
    81,030,283/177,809,692 = 177,809,692/x
  3. Step 3: Cross multiply
    81,030,283x = 177,809,692 × 177,809,692
  4. Step 4: Simplify right side
    81,030,283x = 31,616,286,569,134,864
  5. Step 5: Solve for x
    x = 31,616,286,569,134,864/81,030,283
  6. Step 6: Final answer
    x = 390,178,651.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.