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Finding the Third Proportional to 123,465,402 and 263,328,444

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Solution

The third proportional to 123,465,402 and 263,328,444 is: 561,629,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,465,402 : 263,328,444 = 263,328,444 : x
  2. Step 2: Convert to fraction form
    123,465,402/263,328,444 = 263,328,444/x
  3. Step 3: Cross multiply
    123,465,402x = 263,328,444 × 263,328,444
  4. Step 4: Simplify right side
    123,465,402x = 69,341,869,419,461,136
  5. Step 5: Solve for x
    x = 69,341,869,419,461,136/123,465,402
  6. Step 6: Final answer
    x = 561,629,965.13

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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.