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Finding the Third Proportional to 623,929 and 1,342,431

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Solution

The third proportional to 623,929 and 1,342,431 is: 2,888,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,929 : 1,342,431 = 1,342,431 : x
  2. Step 2: Convert to fraction form
    623,929/1,342,431 = 1,342,431/x
  3. Step 3: Cross multiply
    623,929x = 1,342,431 × 1,342,431
  4. Step 4: Simplify right side
    623,929x = 1,802,120,989,761
  5. Step 5: Solve for x
    x = 1,802,120,989,761/623,929
  6. Step 6: Final answer
    x = 2,888,343.05

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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.