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Finding the Third Proportional to 453,602.25 and 707,980.50

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Solution

The third proportional to 453,602.25 and 707,980.50 is: 1,105,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,602.25 : 707,980.50 = 707,980.50 : x
  2. Step 2: Convert to fraction form
    453,602.25/707,980.50 = 707,980.50/x
  3. Step 3: Cross multiply
    453,602.25x = 707,980.50 × 707,980.50
  4. Step 4: Simplify right side
    453,602.25x = 501,236,388,380.25
  5. Step 5: Solve for x
    x = 501,236,388,380.25/453,602.25
  6. Step 6: Final answer
    x = 1,105,013.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.