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Finding the Third Proportional to 292,850,596.50 and 388,656,138

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Solution

The third proportional to 292,850,596.50 and 388,656,138 is: 515,804,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,850,596.50 : 388,656,138 = 388,656,138 : x
  2. Step 2: Convert to fraction form
    292,850,596.50/388,656,138 = 388,656,138/x
  3. Step 3: Cross multiply
    292,850,596.50x = 388,656,138 × 388,656,138
  4. Step 4: Simplify right side
    292,850,596.50x = 151,053,593,605,075,040
  5. Step 5: Solve for x
    x = 151,053,593,605,075,040/292,850,596.50
  6. Step 6: Final answer
    x = 515,804,288.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.