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Finding the Third Proportional to 170,419 and 358,461

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Solution

The third proportional to 170,419 and 358,461 is: 753,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,419 : 358,461 = 358,461 : x
  2. Step 2: Convert to fraction form
    170,419/358,461 = 358,461/x
  3. Step 3: Cross multiply
    170,419x = 358,461 × 358,461
  4. Step 4: Simplify right side
    170,419x = 128,494,288,521
  5. Step 5: Solve for x
    x = 128,494,288,521/170,419
  6. Step 6: Final answer
    x = 753,990.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.