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Finding the Third Proportional to 438,848 and 664,428

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Solution

The third proportional to 438,848 and 664,428 is: 1,005,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,848 : 664,428 = 664,428 : x
  2. Step 2: Convert to fraction form
    438,848/664,428 = 664,428/x
  3. Step 3: Cross multiply
    438,848x = 664,428 × 664,428
  4. Step 4: Simplify right side
    438,848x = 441,464,567,184
  5. Step 5: Solve for x
    x = 441,464,567,184/438,848
  6. Step 6: Final answer
    x = 1,005,962.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.