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Finding the Third Proportional to 518,492,859.75 and 758,054,684.25

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Solution

The third proportional to 518,492,859.75 and 758,054,684.25 is: 1,108,302,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,492,859.75 : 758,054,684.25 = 758,054,684.25 : x
  2. Step 2: Convert to fraction form
    518,492,859.75/758,054,684.25 = 758,054,684.25/x
  3. Step 3: Cross multiply
    518,492,859.75x = 758,054,684.25 × 758,054,684.25
  4. Step 4: Simplify right side
    518,492,859.75x = 574,646,904,313,367,168
  5. Step 5: Solve for x
    x = 574,646,904,313,367,168/518,492,859.75
  6. Step 6: Final answer
    x = 1,108,302,445.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.