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Finding the Third Proportional to 314,618 and 679,324

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Solution

The third proportional to 314,618 and 679,324 is: 1,466,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,618 : 679,324 = 679,324 : x
  2. Step 2: Convert to fraction form
    314,618/679,324 = 679,324/x
  3. Step 3: Cross multiply
    314,618x = 679,324 × 679,324
  4. Step 4: Simplify right side
    314,618x = 461,481,096,976
  5. Step 5: Solve for x
    x = 461,481,096,976/314,618
  6. Step 6: Final answer
    x = 1,466,798.14

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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.