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Finding the Third Proportional to 318,924 and 670,896

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Solution

The third proportional to 318,924 and 670,896 is: 1,411,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,924 : 670,896 = 670,896 : x
  2. Step 2: Convert to fraction form
    318,924/670,896 = 670,896/x
  3. Step 3: Cross multiply
    318,924x = 670,896 × 670,896
  4. Step 4: Simplify right side
    318,924x = 450,101,442,816
  5. Step 5: Solve for x
    x = 450,101,442,816/318,924
  6. Step 6: Final answer
    x = 1,411,312.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.