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Finding the Third Proportional to 430,584 and 672,038.25

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Solution

The third proportional to 430,584 and 672,038.25 is: 1,048,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,584 : 672,038.25 = 672,038.25 : x
  2. Step 2: Convert to fraction form
    430,584/672,038.25 = 672,038.25/x
  3. Step 3: Cross multiply
    430,584x = 672,038.25 × 672,038.25
  4. Step 4: Simplify right side
    430,584x = 451,635,409,463.06
  5. Step 5: Solve for x
    x = 451,635,409,463.06/430,584
  6. Step 6: Final answer
    x = 1,048,890.37

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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.