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Finding the Third Proportional to 170,421 and 358,465

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Solution

The third proportional to 170,421 and 358,465 is: 753,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,421 : 358,465 = 358,465 : x
  2. Step 2: Convert to fraction form
    170,421/358,465 = 358,465/x
  3. Step 3: Cross multiply
    170,421x = 358,465 × 358,465
  4. Step 4: Simplify right side
    170,421x = 128,497,156,225
  5. Step 5: Solve for x
    x = 128,497,156,225/170,421
  6. Step 6: Final answer
    x = 753,998.37

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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.