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Finding the Third Proportional to 291,684 and 686,772

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Solution

The third proportional to 291,684 and 686,772 is: 1,617,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,684 : 686,772 = 686,772 : x
  2. Step 2: Convert to fraction form
    291,684/686,772 = 686,772/x
  3. Step 3: Cross multiply
    291,684x = 686,772 × 686,772
  4. Step 4: Simplify right side
    291,684x = 471,655,779,984
  5. Step 5: Solve for x
    x = 471,655,779,984/291,684
  6. Step 6: Final answer
    x = 1,617,009.43

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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.