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Finding the Third Proportional to 456,798 and 983,586

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Solution

The third proportional to 456,798 and 983,586 is: 2,117,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,798 : 983,586 = 983,586 : x
  2. Step 2: Convert to fraction form
    456,798/983,586 = 983,586/x
  3. Step 3: Cross multiply
    456,798x = 983,586 × 983,586
  4. Step 4: Simplify right side
    456,798x = 967,441,419,396
  5. Step 5: Solve for x
    x = 967,441,419,396/456,798
  6. Step 6: Final answer
    x = 2,117,875.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.