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Finding the Third Proportional to 861,008 and 1,343,840

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Solution

The third proportional to 861,008 and 1,343,840 is: 2,097,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,008 : 1,343,840 = 1,343,840 : x
  2. Step 2: Convert to fraction form
    861,008/1,343,840 = 1,343,840/x
  3. Step 3: Cross multiply
    861,008x = 1,343,840 × 1,343,840
  4. Step 4: Simplify right side
    861,008x = 1,805,905,945,600
  5. Step 5: Solve for x
    x = 1,805,905,945,600/861,008
  6. Step 6: Final answer
    x = 2,097,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.