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Finding the Third Proportional to 77,048,256 and 160,473,804

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Solution

The third proportional to 77,048,256 and 160,473,804 is: 334,230,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048,256 : 160,473,804 = 160,473,804 : x
  2. Step 2: Convert to fraction form
    77,048,256/160,473,804 = 160,473,804/x
  3. Step 3: Cross multiply
    77,048,256x = 160,473,804 × 160,473,804
  4. Step 4: Simplify right side
    77,048,256x = 25,751,841,770,230,416
  5. Step 5: Solve for x
    x = 25,751,841,770,230,416/77,048,256
  6. Step 6: Final answer
    x = 334,230,041.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.