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Finding the Third Proportional to 387,190.13 and 830,428.45

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Solution

The third proportional to 387,190.13 and 830,428.45 is: 1,781,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,190.13 : 830,428.45 = 830,428.45 : x
  2. Step 2: Convert to fraction form
    387,190.13/830,428.45 = 830,428.45/x
  3. Step 3: Cross multiply
    387,190.13x = 830,428.45 × 830,428.45
  4. Step 4: Simplify right side
    387,190.13x = 689,611,415,759.58
  5. Step 5: Solve for x
    x = 689,611,415,759.58/387,190.13
  6. Step 6: Final answer
    x = 1,781,066.64

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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.