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Finding the Third Proportional to 310,629 and 679,415

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Solution

The third proportional to 310,629 and 679,415 is: 1,486,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,629 : 679,415 = 679,415 : x
  2. Step 2: Convert to fraction form
    310,629/679,415 = 679,415/x
  3. Step 3: Cross multiply
    310,629x = 679,415 × 679,415
  4. Step 4: Simplify right side
    310,629x = 461,604,742,225
  5. Step 5: Solve for x
    x = 461,604,742,225/310,629
  6. Step 6: Final answer
    x = 1,486,032.35

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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.