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Finding the Third Proportional to 454,611,128 and 980,182,253

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Solution

The third proportional to 454,611,128 and 980,182,253 is: 2,113,360,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,611,128 : 980,182,253 = 980,182,253 : x
  2. Step 2: Convert to fraction form
    454,611,128/980,182,253 = 980,182,253/x
  3. Step 3: Cross multiply
    454,611,128x = 980,182,253 × 980,182,253
  4. Step 4: Simplify right side
    454,611,128x = 960,757,249,096,156,032
  5. Step 5: Solve for x
    x = 960,757,249,096,156,032/454,611,128
  6. Step 6: Final answer
    x = 2,113,360,606.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.