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Finding the Third Proportional to 709,717 and 1,556,835

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Solution

The third proportional to 709,717 and 1,556,835 is: 3,415,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,717 : 1,556,835 = 1,556,835 : x
  2. Step 2: Convert to fraction form
    709,717/1,556,835 = 1,556,835/x
  3. Step 3: Cross multiply
    709,717x = 1,556,835 × 1,556,835
  4. Step 4: Simplify right side
    709,717x = 2,423,735,217,225
  5. Step 5: Solve for x
    x = 2,423,735,217,225/709,717
  6. Step 6: Final answer
    x = 3,415,072.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.