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Finding the Third Proportional to 291,780 and 686,970

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Solution

The third proportional to 291,780 and 686,970 is: 1,617,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,780 : 686,970 = 686,970 : x
  2. Step 2: Convert to fraction form
    291,780/686,970 = 686,970/x
  3. Step 3: Cross multiply
    291,780x = 686,970 × 686,970
  4. Step 4: Simplify right side
    291,780x = 471,927,780,900
  5. Step 5: Solve for x
    x = 471,927,780,900/291,780
  6. Step 6: Final answer
    x = 1,617,409.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.