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Finding the Third Proportional to 178,745,015 and 384,879,985

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Solution

The third proportional to 178,745,015 and 384,879,985 is: 828,736,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,745,015 : 384,879,985 = 384,879,985 : x
  2. Step 2: Convert to fraction form
    178,745,015/384,879,985 = 384,879,985/x
  3. Step 3: Cross multiply
    178,745,015x = 384,879,985 × 384,879,985
  4. Step 4: Simplify right side
    178,745,015x = 148,132,602,853,600,224
  5. Step 5: Solve for x
    x = 148,132,602,853,600,224/178,745,015
  6. Step 6: Final answer
    x = 828,736,974.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.