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Finding the Third Proportional to 643,710 and 1,370,580

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Solution

The third proportional to 643,710 and 1,370,580 is: 2,918,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,710 : 1,370,580 = 1,370,580 : x
  2. Step 2: Convert to fraction form
    643,710/1,370,580 = 1,370,580/x
  3. Step 3: Cross multiply
    643,710x = 1,370,580 × 1,370,580
  4. Step 4: Simplify right side
    643,710x = 1,878,489,536,400
  5. Step 5: Solve for x
    x = 1,878,489,536,400/643,710
  6. Step 6: Final answer
    x = 2,918,223.32

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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.