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Finding the Third Proportional to 30,921,744 and 65,585,184

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Solution

The third proportional to 30,921,744 and 65,585,184 is: 139,106,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921,744 : 65,585,184 = 65,585,184 : x
  2. Step 2: Convert to fraction form
    30,921,744/65,585,184 = 65,585,184/x
  3. Step 3: Cross multiply
    30,921,744x = 65,585,184 × 65,585,184
  4. Step 4: Simplify right side
    30,921,744x = 4,301,416,360,313,856
  5. Step 5: Solve for x
    x = 4,301,416,360,313,856/30,921,744
  6. Step 6: Final answer
    x = 139,106,525.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.