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Finding the Third Proportional to 638,720 and 1,001,964

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Solution

The third proportional to 638,720 and 1,001,964 is: 1,571,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,720 : 1,001,964 = 1,001,964 : x
  2. Step 2: Convert to fraction form
    638,720/1,001,964 = 1,001,964/x
  3. Step 3: Cross multiply
    638,720x = 1,001,964 × 1,001,964
  4. Step 4: Simplify right side
    638,720x = 1,003,931,857,296
  5. Step 5: Solve for x
    x = 1,003,931,857,296/638,720
  6. Step 6: Final answer
    x = 1,571,787.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.