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Finding the Third Proportional to 249,097 and 396,553

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Solution

The third proportional to 249,097 and 396,553 is: 631,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,097 : 396,553 = 396,553 : x
  2. Step 2: Convert to fraction form
    249,097/396,553 = 396,553/x
  3. Step 3: Cross multiply
    249,097x = 396,553 × 396,553
  4. Step 4: Simplify right side
    249,097x = 157,254,281,809
  5. Step 5: Solve for x
    x = 157,254,281,809/249,097
  6. Step 6: Final answer
    x = 631,297.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.