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Finding the Third Proportional to 310,594.50 and 679,347

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Solution

The third proportional to 310,594.50 and 679,347 is: 1,485,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,594.50 : 679,347 = 679,347 : x
  2. Step 2: Convert to fraction form
    310,594.50/679,347 = 679,347/x
  3. Step 3: Cross multiply
    310,594.50x = 679,347 × 679,347
  4. Step 4: Simplify right side
    310,594.50x = 461,512,346,409
  5. Step 5: Solve for x
    x = 461,512,346,409/310,594.50
  6. Step 6: Final answer
    x = 1,485,899.93

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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.