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Finding the Third Proportional to 310,487 and 679,090

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Solution

The third proportional to 310,487 and 679,090 is: 1,485,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,487 : 679,090 = 679,090 : x
  2. Step 2: Convert to fraction form
    310,487/679,090 = 679,090/x
  3. Step 3: Cross multiply
    310,487x = 679,090 × 679,090
  4. Step 4: Simplify right side
    310,487x = 461,163,228,100
  5. Step 5: Solve for x
    x = 461,163,228,100/310,487
  6. Step 6: Final answer
    x = 1,485,289.97

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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.