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Finding the Third Proportional to 328,816 and 718,508

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Solution

The third proportional to 328,816 and 718,508 is: 1,570,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,816 : 718,508 = 718,508 : x
  2. Step 2: Convert to fraction form
    328,816/718,508 = 718,508/x
  3. Step 3: Cross multiply
    328,816x = 718,508 × 718,508
  4. Step 4: Simplify right side
    328,816x = 516,253,746,064
  5. Step 5: Solve for x
    x = 516,253,746,064/328,816
  6. Step 6: Final answer
    x = 1,570,038.40

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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.