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Finding the Third Proportional to 343,070 and 709,570

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Solution

The third proportional to 343,070 and 709,570 is: 1,467,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,070 : 709,570 = 709,570 : x
  2. Step 2: Convert to fraction form
    343,070/709,570 = 709,570/x
  3. Step 3: Cross multiply
    343,070x = 709,570 × 709,570
  4. Step 4: Simplify right side
    343,070x = 503,489,584,900
  5. Step 5: Solve for x
    x = 503,489,584,900/343,070
  6. Step 6: Final answer
    x = 1,467,600.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.