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Finding the Third Proportional to 328,152 and 772,636

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Solution

The third proportional to 328,152 and 772,636 is: 1,819,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,152 : 772,636 = 772,636 : x
  2. Step 2: Convert to fraction form
    328,152/772,636 = 772,636/x
  3. Step 3: Cross multiply
    328,152x = 772,636 × 772,636
  4. Step 4: Simplify right side
    328,152x = 596,966,388,496
  5. Step 5: Solve for x
    x = 596,966,388,496/328,152
  6. Step 6: Final answer
    x = 1,819,176.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.