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Finding the Third Proportional to 684,489 and 1,064,069

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Solution

The third proportional to 684,489 and 1,064,069 is: 1,654,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,489 : 1,064,069 = 1,064,069 : x
  2. Step 2: Convert to fraction form
    684,489/1,064,069 = 1,064,069/x
  3. Step 3: Cross multiply
    684,489x = 1,064,069 × 1,064,069
  4. Step 4: Simplify right side
    684,489x = 1,132,242,836,761
  5. Step 5: Solve for x
    x = 1,132,242,836,761/684,489
  6. Step 6: Final answer
    x = 1,654,143.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.