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Finding the Third Proportional to 643,712 and 1,370,584

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Solution

The third proportional to 643,712 and 1,370,584 is: 2,918,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,712 : 1,370,584 = 1,370,584 : x
  2. Step 2: Convert to fraction form
    643,712/1,370,584 = 1,370,584/x
  3. Step 3: Cross multiply
    643,712x = 1,370,584 × 1,370,584
  4. Step 4: Simplify right side
    643,712x = 1,878,500,501,056
  5. Step 5: Solve for x
    x = 1,878,500,501,056/643,712
  6. Step 6: Final answer
    x = 2,918,231.29

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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.