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Finding the Third Proportional to 340,312.50 and 430,072.88

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Solution

The third proportional to 340,312.50 and 430,072.88 is: 543,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,312.50 : 430,072.88 = 430,072.88 : x
  2. Step 2: Convert to fraction form
    340,312.50/430,072.88 = 430,072.88/x
  3. Step 3: Cross multiply
    340,312.50x = 430,072.88 × 430,072.88
  4. Step 4: Simplify right side
    340,312.50x = 184,962,677,810.77
  5. Step 5: Solve for x
    x = 184,962,677,810.77/340,312.50
  6. Step 6: Final answer
    x = 543,508.33

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.