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Finding the Third Proportional to 259,685 and 391,237

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Solution

The third proportional to 259,685 and 391,237 is: 589,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,685 : 391,237 = 391,237 : x
  2. Step 2: Convert to fraction form
    259,685/391,237 = 391,237/x
  3. Step 3: Cross multiply
    259,685x = 391,237 × 391,237
  4. Step 4: Simplify right side
    259,685x = 153,066,390,169
  5. Step 5: Solve for x
    x = 153,066,390,169/259,685
  6. Step 6: Final answer
    x = 589,431.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.