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Finding the Third Proportional to 178,646,764 and 386,972,242

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Solution

The third proportional to 178,646,764 and 386,972,242 is: 838,232,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,646,764 : 386,972,242 = 386,972,242 : x
  2. Step 2: Convert to fraction form
    178,646,764/386,972,242 = 386,972,242/x
  3. Step 3: Cross multiply
    178,646,764x = 386,972,242 × 386,972,242
  4. Step 4: Simplify right side
    178,646,764x = 149,747,516,078,506,560
  5. Step 5: Solve for x
    x = 149,747,516,078,506,560/178,646,764
  6. Step 6: Final answer
    x = 838,232,457.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.