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Finding the Third Proportional to 310,636 and 679,429

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Solution

The third proportional to 310,636 and 679,429 is: 1,486,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,636 : 679,429 = 679,429 : x
  2. Step 2: Convert to fraction form
    310,636/679,429 = 679,429/x
  3. Step 3: Cross multiply
    310,636x = 679,429 × 679,429
  4. Step 4: Simplify right side
    310,636x = 461,623,766,041
  5. Step 5: Solve for x
    x = 461,623,766,041/310,636
  6. Step 6: Final answer
    x = 1,486,060.10

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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.