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Finding the Third Proportional to 831,528 and 1,254,780

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Solution

The third proportional to 831,528 and 1,254,780 is: 1,893,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,528 : 1,254,780 = 1,254,780 : x
  2. Step 2: Convert to fraction form
    831,528/1,254,780 = 1,254,780/x
  3. Step 3: Cross multiply
    831,528x = 1,254,780 × 1,254,780
  4. Step 4: Simplify right side
    831,528x = 1,574,472,848,400
  5. Step 5: Solve for x
    x = 1,574,472,848,400/831,528
  6. Step 6: Final answer
    x = 1,893,469.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.