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Finding the Third Proportional to 642,790 and 1,411,674

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Solution

The third proportional to 642,790 and 1,411,674 is: 3,100,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,790 : 1,411,674 = 1,411,674 : x
  2. Step 2: Convert to fraction form
    642,790/1,411,674 = 1,411,674/x
  3. Step 3: Cross multiply
    642,790x = 1,411,674 × 1,411,674
  4. Step 4: Simplify right side
    642,790x = 1,992,823,482,276
  5. Step 5: Solve for x
    x = 1,992,823,482,276/642,790
  6. Step 6: Final answer
    x = 3,100,271.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.