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Finding the Third Proportional to 289,020 and 613,032

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Solution

The third proportional to 289,020 and 613,032 is: 1,300,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,020 : 613,032 = 613,032 : x
  2. Step 2: Convert to fraction form
    289,020/613,032 = 613,032/x
  3. Step 3: Cross multiply
    289,020x = 613,032 × 613,032
  4. Step 4: Simplify right side
    289,020x = 375,808,233,024
  5. Step 5: Solve for x
    x = 375,808,233,024/289,020
  6. Step 6: Final answer
    x = 1,300,284.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.