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Finding the Third Proportional to 438,777 and 655,295.06

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Solution

The third proportional to 438,777 and 655,295.06 is: 978,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,777 : 655,295.06 = 655,295.06 : x
  2. Step 2: Convert to fraction form
    438,777/655,295.06 = 655,295.06/x
  3. Step 3: Cross multiply
    438,777x = 655,295.06 × 655,295.06
  4. Step 4: Simplify right side
    438,777x = 429,411,618,936.88
  5. Step 5: Solve for x
    x = 429,411,618,936.88/438,777
  6. Step 6: Final answer
    x = 978,655.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.