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Finding the Third Proportional to 639,895 and 1,400,319

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Solution

The third proportional to 639,895 and 1,400,319 is: 3,064,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,895 : 1,400,319 = 1,400,319 : x
  2. Step 2: Convert to fraction form
    639,895/1,400,319 = 1,400,319/x
  3. Step 3: Cross multiply
    639,895x = 1,400,319 × 1,400,319
  4. Step 4: Simplify right side
    639,895x = 1,960,893,301,761
  5. Step 5: Solve for x
    x = 1,960,893,301,761/639,895
  6. Step 6: Final answer
    x = 3,064,398.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.