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Finding the Third Proportional to 642,948.25 and 1,382,671

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Solution

The third proportional to 642,948.25 and 1,382,671 is: 2,973,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,948.25 : 1,382,671 = 1,382,671 : x
  2. Step 2: Convert to fraction form
    642,948.25/1,382,671 = 1,382,671/x
  3. Step 3: Cross multiply
    642,948.25x = 1,382,671 × 1,382,671
  4. Step 4: Simplify right side
    642,948.25x = 1,911,779,094,241
  5. Step 5: Solve for x
    x = 1,911,779,094,241/642,948.25
  6. Step 6: Final answer
    x = 2,973,457.19

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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.