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Finding the Third Proportional to 643,394 and 1,413,688

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Solution

The third proportional to 643,394 and 1,413,688 is: 3,106,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,394 : 1,413,688 = 1,413,688 : x
  2. Step 2: Convert to fraction form
    643,394/1,413,688 = 1,413,688/x
  3. Step 3: Cross multiply
    643,394x = 1,413,688 × 1,413,688
  4. Step 4: Simplify right side
    643,394x = 1,998,513,761,344
  5. Step 5: Solve for x
    x = 1,998,513,761,344/643,394
  6. Step 6: Final answer
    x = 3,106,205.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.