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Finding the Third Proportional to 761,427 and 1,637,685

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Solution

The third proportional to 761,427 and 1,637,685 is: 3,522,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,427 : 1,637,685 = 1,637,685 : x
  2. Step 2: Convert to fraction form
    761,427/1,637,685 = 1,637,685/x
  3. Step 3: Cross multiply
    761,427x = 1,637,685 × 1,637,685
  4. Step 4: Simplify right side
    761,427x = 2,682,012,159,225
  5. Step 5: Solve for x
    x = 2,682,012,159,225/761,427
  6. Step 6: Final answer
    x = 3,522,349.69

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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.