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Finding the Third Proportional to 387,360 and 843,312

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Solution

The third proportional to 387,360 and 843,312 is: 1,835,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,360 : 843,312 = 843,312 : x
  2. Step 2: Convert to fraction form
    387,360/843,312 = 843,312/x
  3. Step 3: Cross multiply
    387,360x = 843,312 × 843,312
  4. Step 4: Simplify right side
    387,360x = 711,175,129,344
  5. Step 5: Solve for x
    x = 711,175,129,344/387,360
  6. Step 6: Final answer
    x = 1,835,953.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.