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Finding the Third Proportional to 163,288 and 249,780

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Solution

The third proportional to 163,288 and 249,780 is: 382,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,288 : 249,780 = 249,780 : x
  2. Step 2: Convert to fraction form
    163,288/249,780 = 249,780/x
  3. Step 3: Cross multiply
    163,288x = 249,780 × 249,780
  4. Step 4: Simplify right side
    163,288x = 62,390,048,400
  5. Step 5: Solve for x
    x = 62,390,048,400/163,288
  6. Step 6: Final answer
    x = 382,085.94

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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.