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Finding the Third Proportional to 445,514 and 690,465

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Solution

The third proportional to 445,514 and 690,465 is: 1,070,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,514 : 690,465 = 690,465 : x
  2. Step 2: Convert to fraction form
    445,514/690,465 = 690,465/x
  3. Step 3: Cross multiply
    445,514x = 690,465 × 690,465
  4. Step 4: Simplify right side
    445,514x = 476,741,916,225
  5. Step 5: Solve for x
    x = 476,741,916,225/445,514
  6. Step 6: Final answer
    x = 1,070,094.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.