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Finding the Third Proportional to 448,807.50 and 689,809.50

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Solution

The third proportional to 448,807.50 and 689,809.50 is: 1,060,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,807.50 : 689,809.50 = 689,809.50 : x
  2. Step 2: Convert to fraction form
    448,807.50/689,809.50 = 689,809.50/x
  3. Step 3: Cross multiply
    448,807.50x = 689,809.50 × 689,809.50
  4. Step 4: Simplify right side
    448,807.50x = 475,837,146,290.25
  5. Step 5: Solve for x
    x = 475,837,146,290.25/448,807.50
  6. Step 6: Final answer
    x = 1,060,225.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.