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Finding the Third Proportional to 387,164 and 830,360

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Solution

The third proportional to 387,164 and 830,360 is: 1,780,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,164 : 830,360 = 830,360 : x
  2. Step 2: Convert to fraction form
    387,164/830,360 = 830,360/x
  3. Step 3: Cross multiply
    387,164x = 830,360 × 830,360
  4. Step 4: Simplify right side
    387,164x = 689,497,729,600
  5. Step 5: Solve for x
    x = 689,497,729,600/387,164
  6. Step 6: Final answer
    x = 1,780,893.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.