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Finding the Third Proportional to 728,912 and 1,531,534

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Solution

The third proportional to 728,912 and 1,531,534 is: 3,217,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,912 : 1,531,534 = 1,531,534 : x
  2. Step 2: Convert to fraction form
    728,912/1,531,534 = 1,531,534/x
  3. Step 3: Cross multiply
    728,912x = 1,531,534 × 1,531,534
  4. Step 4: Simplify right side
    728,912x = 2,345,596,393,156
  5. Step 5: Solve for x
    x = 2,345,596,393,156/728,912
  6. Step 6: Final answer
    x = 3,217,941.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.