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Finding the Third Proportional to 943,683,136 and 1,415,524,825.50

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Solution

The third proportional to 943,683,136 and 1,415,524,825.50 is: 2,123,287,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,683,136 : 1,415,524,825.50 = 1,415,524,825.50 : x
  2. Step 2: Convert to fraction form
    943,683,136/1,415,524,825.50 = 1,415,524,825.50/x
  3. Step 3: Cross multiply
    943,683,136x = 1,415,524,825.50 × 1,415,524,825.50
  4. Step 4: Simplify right side
    943,683,136x = 2,003,710,531,606,805,504
  5. Step 5: Solve for x
    x = 2,003,710,531,606,805,504/943,683,136
  6. Step 6: Final answer
    x = 2,123,287,420.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.