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Finding the Third Proportional to 130,897 and 210,013

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Solution

The third proportional to 130,897 and 210,013 is: 336,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,897 : 210,013 = 210,013 : x
  2. Step 2: Convert to fraction form
    130,897/210,013 = 210,013/x
  3. Step 3: Cross multiply
    130,897x = 210,013 × 210,013
  4. Step 4: Simplify right side
    130,897x = 44,105,460,169
  5. Step 5: Solve for x
    x = 44,105,460,169/130,897
  6. Step 6: Final answer
    x = 336,947.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.