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Finding the Third Proportional to 136,108,480 and 298,670,912

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Solution

The third proportional to 136,108,480 and 298,670,912 is: 655,391,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,108,480 : 298,670,912 = 298,670,912 : x
  2. Step 2: Convert to fraction form
    136,108,480/298,670,912 = 298,670,912/x
  3. Step 3: Cross multiply
    136,108,480x = 298,670,912 × 298,670,912
  4. Step 4: Simplify right side
    136,108,480x = 89,204,313,674,911,744
  5. Step 5: Solve for x
    x = 89,204,313,674,911,744/136,108,480
  6. Step 6: Final answer
    x = 655,391,300.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.