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Finding the Third Proportional to 314,984 and 691,209

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Solution

The third proportional to 314,984 and 691,209 is: 1,516,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,984 : 691,209 = 691,209 : x
  2. Step 2: Convert to fraction form
    314,984/691,209 = 691,209/x
  3. Step 3: Cross multiply
    314,984x = 691,209 × 691,209
  4. Step 4: Simplify right side
    314,984x = 477,769,881,681
  5. Step 5: Solve for x
    x = 477,769,881,681/314,984
  6. Step 6: Final answer
    x = 1,516,806.83

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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.