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Finding the Third Proportional to 453,420.56 and 977,643.56

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Solution

The third proportional to 453,420.56 and 977,643.56 is: 2,107,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,420.56 : 977,643.56 = 977,643.56 : x
  2. Step 2: Convert to fraction form
    453,420.56/977,643.56 = 977,643.56/x
  3. Step 3: Cross multiply
    453,420.56x = 977,643.56 × 977,643.56
  4. Step 4: Simplify right side
    453,420.56x = 955,786,935,297.69
  5. Step 5: Solve for x
    x = 955,786,935,297.69/453,420.56
  6. Step 6: Final answer
    x = 2,107,947.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.