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Finding the Third Proportional to 245,798 and 390,837

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Solution

The third proportional to 245,798 and 390,837 is: 621,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,798 : 390,837 = 390,837 : x
  2. Step 2: Convert to fraction form
    245,798/390,837 = 390,837/x
  3. Step 3: Cross multiply
    245,798x = 390,837 × 390,837
  4. Step 4: Simplify right side
    245,798x = 152,753,560,569
  5. Step 5: Solve for x
    x = 152,753,560,569/245,798
  6. Step 6: Final answer
    x = 621,459.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.