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Finding the Third Proportional to 291,211,336 and 393,573,444

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Solution

The third proportional to 291,211,336 and 393,573,444 is: 531,916,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211,336 : 393,573,444 = 393,573,444 : x
  2. Step 2: Convert to fraction form
    291,211,336/393,573,444 = 393,573,444/x
  3. Step 3: Cross multiply
    291,211,336x = 393,573,444 × 393,573,444
  4. Step 4: Simplify right side
    291,211,336x = 154,900,055,822,021,120
  5. Step 5: Solve for x
    x = 154,900,055,822,021,120/291,211,336
  6. Step 6: Final answer
    x = 531,916,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.