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Finding the Third Proportional to 328,984 and 707,862

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Solution

The third proportional to 328,984 and 707,862 is: 1,523,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,984 : 707,862 = 707,862 : x
  2. Step 2: Convert to fraction form
    328,984/707,862 = 707,862/x
  3. Step 3: Cross multiply
    328,984x = 707,862 × 707,862
  4. Step 4: Simplify right side
    328,984x = 501,068,611,044
  5. Step 5: Solve for x
    x = 501,068,611,044/328,984
  6. Step 6: Final answer
    x = 1,523,078.97

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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.