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Finding the Third Proportional to 157,085 and 249,706

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Solution

The third proportional to 157,085 and 249,706 is: 396,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,085 : 249,706 = 249,706 : x
  2. Step 2: Convert to fraction form
    157,085/249,706 = 249,706/x
  3. Step 3: Cross multiply
    157,085x = 249,706 × 249,706
  4. Step 4: Simplify right side
    157,085x = 62,353,086,436
  5. Step 5: Solve for x
    x = 62,353,086,436/157,085
  6. Step 6: Final answer
    x = 396,938.51

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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.