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Finding the Third Proportional to 170,428 and 373,986

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Solution

The third proportional to 170,428 and 373,986 is: 820,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,428 : 373,986 = 373,986 : x
  2. Step 2: Convert to fraction form
    170,428/373,986 = 373,986/x
  3. Step 3: Cross multiply
    170,428x = 373,986 × 373,986
  4. Step 4: Simplify right side
    170,428x = 139,865,528,196
  5. Step 5: Solve for x
    x = 139,865,528,196/170,428
  6. Step 6: Final answer
    x = 820,672.24

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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.