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Finding the Third Proportional to 430,389.07 and 632,458.76

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Solution

The third proportional to 430,389.07 and 632,458.76 is: 929,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,389.07 : 632,458.76 = 632,458.76 : x
  2. Step 2: Convert to fraction form
    430,389.07/632,458.76 = 632,458.76/x
  3. Step 3: Cross multiply
    430,389.07x = 632,458.76 × 632,458.76
  4. Step 4: Simplify right side
    430,389.07x = 400,004,080,333.73
  5. Step 5: Solve for x
    x = 400,004,080,333.73/430,389.07
  6. Step 6: Final answer
    x = 929,401.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.