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Finding the Third Proportional to 178,435,047 and 272,781,166.50

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Solution

The third proportional to 178,435,047 and 272,781,166.50 is: 417,012,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435,047 : 272,781,166.50 = 272,781,166.50 : x
  2. Step 2: Convert to fraction form
    178,435,047/272,781,166.50 = 272,781,166.50/x
  3. Step 3: Cross multiply
    178,435,047x = 272,781,166.50 × 272,781,166.50
  4. Step 4: Simplify right side
    178,435,047x = 74,409,564,797,100,720
  5. Step 5: Solve for x
    x = 74,409,564,797,100,720/178,435,047
  6. Step 6: Final answer
    x = 417,012,050.31

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Why These Related Problems?

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