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Finding the Third Proportional to 328,806 and 718,492

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Solution

The third proportional to 328,806 and 718,492 is: 1,570,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,806 : 718,492 = 718,492 : x
  2. Step 2: Convert to fraction form
    328,806/718,492 = 718,492/x
  3. Step 3: Cross multiply
    328,806x = 718,492 × 718,492
  4. Step 4: Simplify right side
    328,806x = 516,230,754,064
  5. Step 5: Solve for x
    x = 516,230,754,064/328,806
  6. Step 6: Final answer
    x = 1,570,016.22

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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.