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Finding the Third Proportional to 178,066,365 and 392,359,804

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Solution

The third proportional to 178,066,365 and 392,359,804 is: 864,544,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,066,365 : 392,359,804 = 392,359,804 : x
  2. Step 2: Convert to fraction form
    178,066,365/392,359,804 = 392,359,804/x
  3. Step 3: Cross multiply
    178,066,365x = 392,359,804 × 392,359,804
  4. Step 4: Simplify right side
    178,066,365x = 153,946,215,794,918,400
  5. Step 5: Solve for x
    x = 153,946,215,794,918,400/178,066,365
  6. Step 6: Final answer
    x = 864,544,046.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.