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Finding the Third Proportional to 157,825,370 and 345,821,620

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Solution

The third proportional to 157,825,370 and 345,821,620 is: 757,752,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825,370 : 345,821,620 = 345,821,620 : x
  2. Step 2: Convert to fraction form
    157,825,370/345,821,620 = 345,821,620/x
  3. Step 3: Cross multiply
    157,825,370x = 345,821,620 × 345,821,620
  4. Step 4: Simplify right side
    157,825,370x = 119,592,592,859,424,400
  5. Step 5: Solve for x
    x = 119,592,592,859,424,400/157,825,370
  6. Step 6: Final answer
    x = 757,752,653.20

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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.