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Finding the Third Proportional to 380,210.63 and 830,536.88

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Solution

The third proportional to 380,210.63 and 830,536.88 is: 1,814,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,210.63 : 830,536.88 = 830,536.88 : x
  2. Step 2: Convert to fraction form
    380,210.63/830,536.88 = 830,536.88/x
  3. Step 3: Cross multiply
    380,210.63x = 830,536.88 × 830,536.88
  4. Step 4: Simplify right side
    380,210.63x = 689,791,500,734.77
  5. Step 5: Solve for x
    x = 689,791,500,734.77/380,210.63
  6. Step 6: Final answer
    x = 1,814,235.20

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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.