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Finding the Third Proportional to 380,490 and 571,235

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Solution

The third proportional to 380,490 and 571,235 is: 857,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,490 : 571,235 = 571,235 : x
  2. Step 2: Convert to fraction form
    380,490/571,235 = 571,235/x
  3. Step 3: Cross multiply
    380,490x = 571,235 × 571,235
  4. Step 4: Simplify right side
    380,490x = 326,309,425,225
  5. Step 5: Solve for x
    x = 326,309,425,225/380,490
  6. Step 6: Final answer
    x = 857,603.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.