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Finding the Third Proportional to 163,300 and 249,810

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Solution

The third proportional to 163,300 and 249,810 is: 382,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,300 : 249,810 = 249,810 : x
  2. Step 2: Convert to fraction form
    163,300/249,810 = 249,810/x
  3. Step 3: Cross multiply
    163,300x = 249,810 × 249,810
  4. Step 4: Simplify right side
    163,300x = 62,405,036,100
  5. Step 5: Solve for x
    x = 62,405,036,100/163,300
  6. Step 6: Final answer
    x = 382,149.64

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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.