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Finding the Third Proportional to 621,709.50 and 988,613.25

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Solution

The third proportional to 621,709.50 and 988,613.25 is: 1,572,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,709.50 : 988,613.25 = 988,613.25 : x
  2. Step 2: Convert to fraction form
    621,709.50/988,613.25 = 988,613.25/x
  3. Step 3: Cross multiply
    621,709.50x = 988,613.25 × 988,613.25
  4. Step 4: Simplify right side
    621,709.50x = 977,356,158,075.56
  5. Step 5: Solve for x
    x = 977,356,158,075.56/621,709.50
  6. Step 6: Final answer
    x = 1,572,046.36

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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.