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Finding the Third Proportional to 120,252,746 and 257,511,584

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Solution

The third proportional to 120,252,746 and 257,511,584 is: 551,440,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,252,746 : 257,511,584 = 257,511,584 : x
  2. Step 2: Convert to fraction form
    120,252,746/257,511,584 = 257,511,584/x
  3. Step 3: Cross multiply
    120,252,746x = 257,511,584 × 257,511,584
  4. Step 4: Simplify right side
    120,252,746x = 66,312,215,894,189,056
  5. Step 5: Solve for x
    x = 66,312,215,894,189,056/120,252,746
  6. Step 6: Final answer
    x = 551,440,346.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.