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Finding the Third Proportional to 430,462.69 and 938,431.13

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Solution

The third proportional to 430,462.69 and 938,431.13 is: 2,045,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,462.69 : 938,431.13 = 938,431.13 : x
  2. Step 2: Convert to fraction form
    430,462.69/938,431.13 = 938,431.13/x
  3. Step 3: Cross multiply
    430,462.69x = 938,431.13 × 938,431.13
  4. Step 4: Simplify right side
    430,462.69x = 880,652,976,368.77
  5. Step 5: Solve for x
    x = 880,652,976,368.77/430,462.69
  6. Step 6: Final answer
    x = 2,045,828.83

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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.