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Finding the Third Proportional to 513,483 and 751,207.50

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Solution

The third proportional to 513,483 and 751,207.50 is: 1,098,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,483 : 751,207.50 = 751,207.50 : x
  2. Step 2: Convert to fraction form
    513,483/751,207.50 = 751,207.50/x
  3. Step 3: Cross multiply
    513,483x = 751,207.50 × 751,207.50
  4. Step 4: Simplify right side
    513,483x = 564,312,708,056.25
  5. Step 5: Solve for x
    x = 564,312,708,056.25/513,483
  6. Step 6: Final answer
    x = 1,098,990.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.