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Finding the Third Proportional to 434,785 and 571,740

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Solution

The third proportional to 434,785 and 571,740 is: 751,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,785 : 571,740 = 571,740 : x
  2. Step 2: Convert to fraction form
    434,785/571,740 = 571,740/x
  3. Step 3: Cross multiply
    434,785x = 571,740 × 571,740
  4. Step 4: Simplify right side
    434,785x = 326,886,627,600
  5. Step 5: Solve for x
    x = 326,886,627,600/434,785
  6. Step 6: Final answer
    x = 751,835.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.