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Finding the Third Proportional to 430,578.75 and 672,031.13

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Solution

The third proportional to 430,578.75 and 672,031.13 is: 1,048,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,578.75 : 672,031.13 = 672,031.13 : x
  2. Step 2: Convert to fraction form
    430,578.75/672,031.13 = 672,031.13/x
  3. Step 3: Cross multiply
    430,578.75x = 672,031.13 × 672,031.13
  4. Step 4: Simplify right side
    430,578.75x = 451,625,832,968.77
  5. Step 5: Solve for x
    x = 451,625,832,968.77/430,578.75
  6. Step 6: Final answer
    x = 1,048,880.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.