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Finding the Third Proportional to 163,078 and 249,480

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Solution

The third proportional to 163,078 and 249,480 is: 381,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,078 : 249,480 = 249,480 : x
  2. Step 2: Convert to fraction form
    163,078/249,480 = 249,480/x
  3. Step 3: Cross multiply
    163,078x = 249,480 × 249,480
  4. Step 4: Simplify right side
    163,078x = 62,240,270,400
  5. Step 5: Solve for x
    x = 62,240,270,400/163,078
  6. Step 6: Final answer
    x = 381,659.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.