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Finding the Third Proportional to 375,097 and 821,342

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Solution

The third proportional to 375,097 and 821,342 is: 1,798,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,097 : 821,342 = 821,342 : x
  2. Step 2: Convert to fraction form
    375,097/821,342 = 821,342/x
  3. Step 3: Cross multiply
    375,097x = 821,342 × 821,342
  4. Step 4: Simplify right side
    375,097x = 674,602,680,964
  5. Step 5: Solve for x
    x = 674,602,680,964/375,097
  6. Step 6: Final answer
    x = 1,798,475.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.