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Finding the Third Proportional to 478,608.75 and 740,990.25

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Solution

The third proportional to 478,608.75 and 740,990.25 is: 1,147,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,608.75 : 740,990.25 = 740,990.25 : x
  2. Step 2: Convert to fraction form
    478,608.75/740,990.25 = 740,990.25/x
  3. Step 3: Cross multiply
    478,608.75x = 740,990.25 × 740,990.25
  4. Step 4: Simplify right side
    478,608.75x = 549,066,550,595.06
  5. Step 5: Solve for x
    x = 549,066,550,595.06/478,608.75
  6. Step 6: Final answer
    x = 1,147,213.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.