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Finding the Third Proportional to 672,698 and 999,459

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Solution

The third proportional to 672,698 and 999,459 is: 1,484,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,698 : 999,459 = 999,459 : x
  2. Step 2: Convert to fraction form
    672,698/999,459 = 999,459/x
  3. Step 3: Cross multiply
    672,698x = 999,459 × 999,459
  4. Step 4: Simplify right side
    672,698x = 998,918,292,681
  5. Step 5: Solve for x
    x = 998,918,292,681/672,698
  6. Step 6: Final answer
    x = 1,484,943.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.