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Finding the Third Proportional to 319,421,456 and 477,003,288

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Solution

The third proportional to 319,421,456 and 477,003,288 is: 712,325,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,421,456 : 477,003,288 = 477,003,288 : x
  2. Step 2: Convert to fraction form
    319,421,456/477,003,288 = 477,003,288/x
  3. Step 3: Cross multiply
    319,421,456x = 477,003,288 × 477,003,288
  4. Step 4: Simplify right side
    319,421,456x = 227,532,136,762,810,944
  5. Step 5: Solve for x
    x = 227,532,136,762,810,944/319,421,456
  6. Step 6: Final answer
    x = 712,325,776.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.