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Finding the Third Proportional to 33,648,480 and 73,201,860

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Solution

The third proportional to 33,648,480 and 73,201,860 is: 159,249,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648,480 : 73,201,860 = 73,201,860 : x
  2. Step 2: Convert to fraction form
    33,648,480/73,201,860 = 73,201,860/x
  3. Step 3: Cross multiply
    33,648,480x = 73,201,860 × 73,201,860
  4. Step 4: Simplify right side
    33,648,480x = 5,358,512,307,459,600
  5. Step 5: Solve for x
    x = 5,358,512,307,459,600/33,648,480
  6. Step 6: Final answer
    x = 159,249,758.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.