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Finding the Third Proportional to 210,969,616 and 438,108,448

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Solution

The third proportional to 210,969,616 and 438,108,448 is: 909,794,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,969,616 : 438,108,448 = 438,108,448 : x
  2. Step 2: Convert to fraction form
    210,969,616/438,108,448 = 438,108,448/x
  3. Step 3: Cross multiply
    210,969,616x = 438,108,448 × 438,108,448
  4. Step 4: Simplify right side
    210,969,616x = 191,939,012,208,968,704
  5. Step 5: Solve for x
    x = 191,939,012,208,968,704/210,969,616
  6. Step 6: Final answer
    x = 909,794,575.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.