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Finding the Third Proportional to 454,611,132 and 980,182,261

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Solution

The third proportional to 454,611,132 and 980,182,261 is: 2,113,360,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,611,132 : 980,182,261 = 980,182,261 : x
  2. Step 2: Convert to fraction form
    454,611,132/980,182,261 = 980,182,261/x
  3. Step 3: Cross multiply
    454,611,132x = 980,182,261 × 980,182,261
  4. Step 4: Simplify right side
    454,611,132x = 960,757,264,779,072,128
  5. Step 5: Solve for x
    x = 960,757,264,779,072,128/454,611,132
  6. Step 6: Final answer
    x = 2,113,360,622.19

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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.