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Finding the Third Proportional to 314,575 and 679,206

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Solution

The third proportional to 314,575 and 679,206 is: 1,466,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,575 : 679,206 = 679,206 : x
  2. Step 2: Convert to fraction form
    314,575/679,206 = 679,206/x
  3. Step 3: Cross multiply
    314,575x = 679,206 × 679,206
  4. Step 4: Simplify right side
    314,575x = 461,320,790,436
  5. Step 5: Solve for x
    x = 461,320,790,436/314,575
  6. Step 6: Final answer
    x = 1,466,489.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.