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Finding the Third Proportional to 306,399,690 and 655,397,688

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Solution

The third proportional to 306,399,690 and 655,397,688 is: 1,401,914,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,399,690 : 655,397,688 = 655,397,688 : x
  2. Step 2: Convert to fraction form
    306,399,690/655,397,688 = 655,397,688/x
  3. Step 3: Cross multiply
    306,399,690x = 655,397,688 × 655,397,688
  4. Step 4: Simplify right side
    306,399,690x = 429,546,129,435,745,344
  5. Step 5: Solve for x
    x = 429,546,129,435,745,344/306,399,690
  6. Step 6: Final answer
    x = 1,401,914,373.46

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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.