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Finding the Third Proportional to 286,090 and 420,376

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Solution

The third proportional to 286,090 and 420,376 is: 617,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,090 : 420,376 = 420,376 : x
  2. Step 2: Convert to fraction form
    286,090/420,376 = 420,376/x
  3. Step 3: Cross multiply
    286,090x = 420,376 × 420,376
  4. Step 4: Simplify right side
    286,090x = 176,715,981,376
  5. Step 5: Solve for x
    x = 176,715,981,376/286,090
  6. Step 6: Final answer
    x = 617,693.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.