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Finding the Third Proportional to 478,407.50 and 748,775.50

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Solution

The third proportional to 478,407.50 and 748,775.50 is: 1,171,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,407.50 : 748,775.50 = 748,775.50 : x
  2. Step 2: Convert to fraction form
    478,407.50/748,775.50 = 748,775.50/x
  3. Step 3: Cross multiply
    478,407.50x = 748,775.50 × 748,775.50
  4. Step 4: Simplify right side
    478,407.50x = 560,664,749,400.25
  5. Step 5: Solve for x
    x = 560,664,749,400.25/478,407.50
  6. Step 6: Final answer
    x = 1,171,939.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.