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Finding the Third Proportional to 814,428 and 1,242,702

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Solution

The third proportional to 814,428 and 1,242,702 is: 1,896,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,428 : 1,242,702 = 1,242,702 : x
  2. Step 2: Convert to fraction form
    814,428/1,242,702 = 1,242,702/x
  3. Step 3: Cross multiply
    814,428x = 1,242,702 × 1,242,702
  4. Step 4: Simplify right side
    814,428x = 1,544,308,260,804
  5. Step 5: Solve for x
    x = 1,544,308,260,804/814,428
  6. Step 6: Final answer
    x = 1,896,187.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.