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Finding the Third Proportional to 249,328 and 540,128

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Solution

The third proportional to 249,328 and 540,128 is: 1,170,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,328 : 540,128 = 540,128 : x
  2. Step 2: Convert to fraction form
    249,328/540,128 = 540,128/x
  3. Step 3: Cross multiply
    249,328x = 540,128 × 540,128
  4. Step 4: Simplify right side
    249,328x = 291,738,256,384
  5. Step 5: Solve for x
    x = 291,738,256,384/249,328
  6. Step 6: Final answer
    x = 1,170,098.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.