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Finding the Third Proportional to 286,130 and 620,044

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Solution

The third proportional to 286,130 and 620,044 is: 1,343,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,130 : 620,044 = 620,044 : x
  2. Step 2: Convert to fraction form
    286,130/620,044 = 620,044/x
  3. Step 3: Cross multiply
    286,130x = 620,044 × 620,044
  4. Step 4: Simplify right side
    286,130x = 384,454,561,936
  5. Step 5: Solve for x
    x = 384,454,561,936/286,130
  6. Step 6: Final answer
    x = 1,343,635.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.