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Finding the Third Proportional to 144,513 and 306,522

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Solution

The third proportional to 144,513 and 306,522 is: 650,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,513 : 306,522 = 306,522 : x
  2. Step 2: Convert to fraction form
    144,513/306,522 = 306,522/x
  3. Step 3: Cross multiply
    144,513x = 306,522 × 306,522
  4. Step 4: Simplify right side
    144,513x = 93,955,736,484
  5. Step 5: Solve for x
    x = 93,955,736,484/144,513
  6. Step 6: Final answer
    x = 650,154.22

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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.