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Finding the Third Proportional to 351,207 and 744,209

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Solution

The third proportional to 351,207 and 744,209 is: 1,576,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,207 : 744,209 = 744,209 : x
  2. Step 2: Convert to fraction form
    351,207/744,209 = 744,209/x
  3. Step 3: Cross multiply
    351,207x = 744,209 × 744,209
  4. Step 4: Simplify right side
    351,207x = 553,847,035,681
  5. Step 5: Solve for x
    x = 553,847,035,681/351,207
  6. Step 6: Final answer
    x = 1,576,981.77

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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.