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Finding the Third Proportional to 413,045.44 and 631,440

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Solution

The third proportional to 413,045.44 and 631,440 is: 965,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,045.44 : 631,440 = 631,440 : x
  2. Step 2: Convert to fraction form
    413,045.44/631,440 = 631,440/x
  3. Step 3: Cross multiply
    413,045.44x = 631,440 × 631,440
  4. Step 4: Simplify right side
    413,045.44x = 398,716,473,600
  5. Step 5: Solve for x
    x = 398,716,473,600/413,045.44
  6. Step 6: Final answer
    x = 965,308.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.