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Finding the Third Proportional to 178,435,775 and 272,783,481

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Solution

The third proportional to 178,435,775 and 272,783,481 is: 417,017,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435,775 : 272,783,481 = 272,783,481 : x
  2. Step 2: Convert to fraction form
    178,435,775/272,783,481 = 272,783,481/x
  3. Step 3: Cross multiply
    178,435,775x = 272,783,481 × 272,783,481
  4. Step 4: Simplify right side
    178,435,775x = 74,410,827,506,477,360
  5. Step 5: Solve for x
    x = 74,410,827,506,477,360/178,435,775
  6. Step 6: Final answer
    x = 417,017,425.49

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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.