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Finding the Third Proportional to 178,623,428 and 383,091,880

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Solution

The third proportional to 178,623,428 and 383,091,880 is: 821,613,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,623,428 : 383,091,880 = 383,091,880 : x
  2. Step 2: Convert to fraction form
    178,623,428/383,091,880 = 383,091,880/x
  3. Step 3: Cross multiply
    178,623,428x = 383,091,880 × 383,091,880
  4. Step 4: Simplify right side
    178,623,428x = 146,759,388,521,934,400
  5. Step 5: Solve for x
    x = 146,759,388,521,934,400/178,623,428
  6. Step 6: Final answer
    x = 821,613,324.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.