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Finding the Third Proportional to 510,157,315.88 and 765,103,110

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Solution

The third proportional to 510,157,315.88 and 765,103,110 is: 1,147,455,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,157,315.88 : 765,103,110 = 765,103,110 : x
  2. Step 2: Convert to fraction form
    510,157,315.88/765,103,110 = 765,103,110/x
  3. Step 3: Cross multiply
    510,157,315.88x = 765,103,110 × 765,103,110
  4. Step 4: Simplify right side
    510,157,315.88x = 585,382,768,931,672,064
  5. Step 5: Solve for x
    x = 585,382,768,931,672,064/510,157,315.88
  6. Step 6: Final answer
    x = 1,147,455,403.88

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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.