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Finding the Third Proportional to 621,709 and 988,612

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Solution

The third proportional to 621,709 and 988,612 is: 1,572,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,709 : 988,612 = 988,612 : x
  2. Step 2: Convert to fraction form
    621,709/988,612 = 988,612/x
  3. Step 3: Cross multiply
    621,709x = 988,612 × 988,612
  4. Step 4: Simplify right side
    621,709x = 977,353,686,544
  5. Step 5: Solve for x
    x = 977,353,686,544/621,709
  6. Step 6: Final answer
    x = 1,572,043.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.