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Finding the Third Proportional to 136,628 and 296,584

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Solution

The third proportional to 136,628 and 296,584 is: 643,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,628 : 296,584 = 296,584 : x
  2. Step 2: Convert to fraction form
    136,628/296,584 = 296,584/x
  3. Step 3: Cross multiply
    136,628x = 296,584 × 296,584
  4. Step 4: Simplify right side
    136,628x = 87,962,069,056
  5. Step 5: Solve for x
    x = 87,962,069,056/136,628
  6. Step 6: Final answer
    x = 643,807.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.