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Finding the Third Proportional to 229,201,920 and 355,421,952

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Solution

The third proportional to 229,201,920 and 355,421,952 is: 551,150,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,201,920 : 355,421,952 = 355,421,952 : x
  2. Step 2: Convert to fraction form
    229,201,920/355,421,952 = 355,421,952/x
  3. Step 3: Cross multiply
    229,201,920x = 355,421,952 × 355,421,952
  4. Step 4: Simplify right side
    229,201,920x = 126,324,763,963,490,304
  5. Step 5: Solve for x
    x = 126,324,763,963,490,304/229,201,920
  6. Step 6: Final answer
    x = 551,150,548.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.