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Finding the Third Proportional to 761,878 and 1,638,416

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Solution

The third proportional to 761,878 and 1,638,416 is: 3,523,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,878 : 1,638,416 = 1,638,416 : x
  2. Step 2: Convert to fraction form
    761,878/1,638,416 = 1,638,416/x
  3. Step 3: Cross multiply
    761,878x = 1,638,416 × 1,638,416
  4. Step 4: Simplify right side
    761,878x = 2,684,406,989,056
  5. Step 5: Solve for x
    x = 2,684,406,989,056/761,878
  6. Step 6: Final answer
    x = 3,523,407.93

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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.