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Finding the Third Proportional to 831,984 and 1,284,657

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Solution

The third proportional to 831,984 and 1,284,657 is: 1,983,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,984 : 1,284,657 = 1,284,657 : x
  2. Step 2: Convert to fraction form
    831,984/1,284,657 = 1,284,657/x
  3. Step 3: Cross multiply
    831,984x = 1,284,657 × 1,284,657
  4. Step 4: Simplify right side
    831,984x = 1,650,343,607,649
  5. Step 5: Solve for x
    x = 1,650,343,607,649/831,984
  6. Step 6: Final answer
    x = 1,983,624.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.