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Finding the Third Proportional to 144,570 and 306,636

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Solution

The third proportional to 144,570 and 306,636 is: 650,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,570 : 306,636 = 306,636 : x
  2. Step 2: Convert to fraction form
    144,570/306,636 = 306,636/x
  3. Step 3: Cross multiply
    144,570x = 306,636 × 306,636
  4. Step 4: Simplify right side
    144,570x = 94,025,636,496
  5. Step 5: Solve for x
    x = 94,025,636,496/144,570
  6. Step 6: Final answer
    x = 650,381.38

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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.