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Finding the Third Proportional to 688,440 and 991,546

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Solution

The third proportional to 688,440 and 991,546 is: 1,428,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,440 : 991,546 = 991,546 : x
  2. Step 2: Convert to fraction form
    688,440/991,546 = 991,546/x
  3. Step 3: Cross multiply
    688,440x = 991,546 × 991,546
  4. Step 4: Simplify right side
    688,440x = 983,163,470,116
  5. Step 5: Solve for x
    x = 983,163,470,116/688,440
  6. Step 6: Final answer
    x = 1,428,103.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.