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Finding the Third Proportional to 345,664 and 718,919

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Solution

The third proportional to 345,664 and 718,919 is: 1,495,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,664 : 718,919 = 718,919 : x
  2. Step 2: Convert to fraction form
    345,664/718,919 = 718,919/x
  3. Step 3: Cross multiply
    345,664x = 718,919 × 718,919
  4. Step 4: Simplify right side
    345,664x = 516,844,528,561
  5. Step 5: Solve for x
    x = 516,844,528,561/345,664
  6. Step 6: Final answer
    x = 1,495,222.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.