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Finding the Third Proportional to 211,291,485 and 291,964,897

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Solution

The third proportional to 211,291,485 and 291,964,897 is: 403,440,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,291,485 : 291,964,897 = 291,964,897 : x
  2. Step 2: Convert to fraction form
    211,291,485/291,964,897 = 291,964,897/x
  3. Step 3: Cross multiply
    211,291,485x = 291,964,897 × 291,964,897
  4. Step 4: Simplify right side
    211,291,485x = 85,243,501,080,220,608
  5. Step 5: Solve for x
    x = 85,243,501,080,220,608/211,291,485
  6. Step 6: Final answer
    x = 403,440,304.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.