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Finding the Third Proportional to 840,688 and 1,179,652

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Solution

The third proportional to 840,688 and 1,179,652 is: 1,655,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,688 : 1,179,652 = 1,179,652 : x
  2. Step 2: Convert to fraction form
    840,688/1,179,652 = 1,179,652/x
  3. Step 3: Cross multiply
    840,688x = 1,179,652 × 1,179,652
  4. Step 4: Simplify right side
    840,688x = 1,391,578,841,104
  5. Step 5: Solve for x
    x = 1,391,578,841,104/840,688
  6. Step 6: Final answer
    x = 1,655,285.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.