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Finding the Third Proportional to 643,859,688 and 1,394,683,032

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Solution

The third proportional to 643,859,688 and 1,394,683,032 is: 3,021,063,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,859,688 : 1,394,683,032 = 1,394,683,032 : x
  2. Step 2: Convert to fraction form
    643,859,688/1,394,683,032 = 1,394,683,032/x
  3. Step 3: Cross multiply
    643,859,688x = 1,394,683,032 × 1,394,683,032
  4. Step 4: Simplify right side
    643,859,688x = 1,945,140,759,748,712,960
  5. Step 5: Solve for x
    x = 1,945,140,759,748,712,960/643,859,688
  6. Step 6: Final answer
    x = 3,021,063,122.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.