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Finding the Third Proportional to 510,157,318 and 765,103,113

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Solution

The third proportional to 510,157,318 and 765,103,113 is: 1,147,455,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,157,318 : 765,103,113 = 765,103,113 : x
  2. Step 2: Convert to fraction form
    510,157,318/765,103,113 = 765,103,113/x
  3. Step 3: Cross multiply
    510,157,318x = 765,103,113 × 765,103,113
  4. Step 4: Simplify right side
    510,157,318x = 585,382,773,522,290,816
  5. Step 5: Solve for x
    x = 585,382,773,522,290,816/510,157,318
  6. Step 6: Final answer
    x = 1,147,455,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.