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Finding the Third Proportional to 310,637 and 679,431

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Solution

The third proportional to 310,637 and 679,431 is: 1,486,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,637 : 679,431 = 679,431 : x
  2. Step 2: Convert to fraction form
    310,637/679,431 = 679,431/x
  3. Step 3: Cross multiply
    310,637x = 679,431 × 679,431
  4. Step 4: Simplify right side
    310,637x = 461,626,483,761
  5. Step 5: Solve for x
    x = 461,626,483,761/310,637
  6. Step 6: Final answer
    x = 1,486,064.07

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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.