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Finding the Third Proportional to 668,018 and 1,018,875

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Solution

The third proportional to 668,018 and 1,018,875 is: 1,554,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,018 : 1,018,875 = 1,018,875 : x
  2. Step 2: Convert to fraction form
    668,018/1,018,875 = 1,018,875/x
  3. Step 3: Cross multiply
    668,018x = 1,018,875 × 1,018,875
  4. Step 4: Simplify right side
    668,018x = 1,038,106,265,625
  5. Step 5: Solve for x
    x = 1,038,106,265,625/668,018
  6. Step 6: Final answer
    x = 1,554,009.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.