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Finding the Third Proportional to 249,629 and 538,621

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Solution

The third proportional to 249,629 and 538,621 is: 1,162,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,629 : 538,621 = 538,621 : x
  2. Step 2: Convert to fraction form
    249,629/538,621 = 538,621/x
  3. Step 3: Cross multiply
    249,629x = 538,621 × 538,621
  4. Step 4: Simplify right side
    249,629x = 290,112,581,641
  5. Step 5: Solve for x
    x = 290,112,581,641/249,629
  6. Step 6: Final answer
    x = 1,162,174.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.