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Finding the Third Proportional to 285,798 and 420,431

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Solution

The third proportional to 285,798 and 420,431 is: 618,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,798 : 420,431 = 420,431 : x
  2. Step 2: Convert to fraction form
    285,798/420,431 = 420,431/x
  3. Step 3: Cross multiply
    285,798x = 420,431 × 420,431
  4. Step 4: Simplify right side
    285,798x = 176,762,225,761
  5. Step 5: Solve for x
    x = 176,762,225,761/285,798
  6. Step 6: Final answer
    x = 618,486.57

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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.