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Finding the Third Proportional to 286,798 and 445,537

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Solution

The third proportional to 286,798 and 445,537 is: 692,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,798 : 445,537 = 445,537 : x
  2. Step 2: Convert to fraction form
    286,798/445,537 = 445,537/x
  3. Step 3: Cross multiply
    286,798x = 445,537 × 445,537
  4. Step 4: Simplify right side
    286,798x = 198,503,218,369
  5. Step 5: Solve for x
    x = 198,503,218,369/286,798
  6. Step 6: Final answer
    x = 692,135.99

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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.