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Finding the Third Proportional to 309,120 and 652,020

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Solution

The third proportional to 309,120 and 652,020 is: 1,375,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,120 : 652,020 = 652,020 : x
  2. Step 2: Convert to fraction form
    309,120/652,020 = 652,020/x
  3. Step 3: Cross multiply
    309,120x = 652,020 × 652,020
  4. Step 4: Simplify right side
    309,120x = 425,130,080,400
  5. Step 5: Solve for x
    x = 425,130,080,400/309,120
  6. Step 6: Final answer
    x = 1,375,291.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.