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Finding the Third Proportional to 657,764 and 1,408,840

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Solution

The third proportional to 657,764 and 1,408,840 is: 3,017,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,764 : 1,408,840 = 1,408,840 : x
  2. Step 2: Convert to fraction form
    657,764/1,408,840 = 1,408,840/x
  3. Step 3: Cross multiply
    657,764x = 1,408,840 × 1,408,840
  4. Step 4: Simplify right side
    657,764x = 1,984,830,145,600
  5. Step 5: Solve for x
    x = 1,984,830,145,600/657,764
  6. Step 6: Final answer
    x = 3,017,541.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.