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Finding the Third Proportional to 178,434,999 and 272,781,072

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Solution

The third proportional to 178,434,999 and 272,781,072 is: 417,011,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434,999 : 272,781,072 = 272,781,072 : x
  2. Step 2: Convert to fraction form
    178,434,999/272,781,072 = 272,781,072/x
  3. Step 3: Cross multiply
    178,434,999x = 272,781,072 × 272,781,072
  4. Step 4: Simplify right side
    178,434,999x = 74,409,513,241,469,184
  5. Step 5: Solve for x
    x = 74,409,513,241,469,184/178,434,999
  6. Step 6: Final answer
    x = 417,011,873.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.