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Finding the Third Proportional to 312,724 and 609,896

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Solution

The third proportional to 312,724 and 609,896 is: 1,189,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,724 : 609,896 = 609,896 : x
  2. Step 2: Convert to fraction form
    312,724/609,896 = 609,896/x
  3. Step 3: Cross multiply
    312,724x = 609,896 × 609,896
  4. Step 4: Simplify right side
    312,724x = 371,973,130,816
  5. Step 5: Solve for x
    x = 371,973,130,816/312,724
  6. Step 6: Final answer
    x = 1,189,461.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.