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Finding the Third Proportional to 205,358 and 449,428

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Solution

The third proportional to 205,358 and 449,428 is: 983,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,358 : 449,428 = 449,428 : x
  2. Step 2: Convert to fraction form
    205,358/449,428 = 449,428/x
  3. Step 3: Cross multiply
    205,358x = 449,428 × 449,428
  4. Step 4: Simplify right side
    205,358x = 201,985,527,184
  5. Step 5: Solve for x
    x = 201,985,527,184/205,358
  6. Step 6: Final answer
    x = 983,577.59

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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.