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Finding the Third Proportional to 320,148 and 686,948

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Solution

The third proportional to 320,148 and 686,948 is: 1,473,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,148 : 686,948 = 686,948 : x
  2. Step 2: Convert to fraction form
    320,148/686,948 = 686,948/x
  3. Step 3: Cross multiply
    320,148x = 686,948 × 686,948
  4. Step 4: Simplify right side
    320,148x = 471,897,554,704
  5. Step 5: Solve for x
    x = 471,897,554,704/320,148
  6. Step 6: Final answer
    x = 1,473,998.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.