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Finding the Third Proportional to 351,209 and 744,213

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Solution

The third proportional to 351,209 and 744,213 is: 1,576,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,209 : 744,213 = 744,213 : x
  2. Step 2: Convert to fraction form
    351,209/744,213 = 744,213/x
  3. Step 3: Cross multiply
    351,209x = 744,213 × 744,213
  4. Step 4: Simplify right side
    351,209x = 553,852,989,369
  5. Step 5: Solve for x
    x = 553,852,989,369/351,209
  6. Step 6: Final answer
    x = 1,576,989.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.