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Finding the Third Proportional to 308,249,019 and 422,692,564.50

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Solution

The third proportional to 308,249,019 and 422,692,564.50 is: 579,625,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,249,019 : 422,692,564.50 = 422,692,564.50 : x
  2. Step 2: Convert to fraction form
    308,249,019/422,692,564.50 = 422,692,564.50/x
  3. Step 3: Cross multiply
    308,249,019x = 422,692,564.50 × 422,692,564.50
  4. Step 4: Simplify right side
    308,249,019x = 178,669,004,083,586,656
  5. Step 5: Solve for x
    x = 178,669,004,083,586,656/308,249,019
  6. Step 6: Final answer
    x = 579,625,539.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.