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Finding the Third Proportional to 123,465,420 and 263,328,480

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Solution

The third proportional to 123,465,420 and 263,328,480 is: 561,630,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,465,420 : 263,328,480 = 263,328,480 : x
  2. Step 2: Convert to fraction form
    123,465,420/263,328,480 = 263,328,480/x
  3. Step 3: Cross multiply
    123,465,420x = 263,328,480 × 263,328,480
  4. Step 4: Simplify right side
    123,465,420x = 69,341,888,379,110,400
  5. Step 5: Solve for x
    x = 69,341,888,379,110,400/123,465,420
  6. Step 6: Final answer
    x = 561,630,036.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.