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Finding the Third Proportional to 761,888 and 1,638,432

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Solution

The third proportional to 761,888 and 1,638,432 is: 3,523,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,888 : 1,638,432 = 1,638,432 : x
  2. Step 2: Convert to fraction form
    761,888/1,638,432 = 1,638,432/x
  3. Step 3: Cross multiply
    761,888x = 1,638,432 × 1,638,432
  4. Step 4: Simplify right side
    761,888x = 2,684,459,418,624
  5. Step 5: Solve for x
    x = 2,684,459,418,624/761,888
  6. Step 6: Final answer
    x = 3,523,430.50

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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.