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Finding the Third Proportional to 33,648,484 and 73,201,868

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Solution

The third proportional to 33,648,484 and 73,201,868 is: 159,249,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648,484 : 73,201,868 = 73,201,868 : x
  2. Step 2: Convert to fraction form
    33,648,484/73,201,868 = 73,201,868/x
  3. Step 3: Cross multiply
    33,648,484x = 73,201,868 × 73,201,868
  4. Step 4: Simplify right side
    33,648,484x = 5,358,513,478,689,424
  5. Step 5: Solve for x
    x = 5,358,513,478,689,424/33,648,484
  6. Step 6: Final answer
    x = 159,249,774.19

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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.