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Finding the Third Proportional to 290,742 and 616,710

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Solution

The third proportional to 290,742 and 616,710 is: 1,308,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,742 : 616,710 = 616,710 : x
  2. Step 2: Convert to fraction form
    290,742/616,710 = 616,710/x
  3. Step 3: Cross multiply
    290,742x = 616,710 × 616,710
  4. Step 4: Simplify right side
    290,742x = 380,331,224,100
  5. Step 5: Solve for x
    x = 380,331,224,100/290,742
  6. Step 6: Final answer
    x = 1,308,139.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.