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Finding the Third Proportional to 295,312.50 and 644,760

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Solution

The third proportional to 295,312.50 and 644,760 is: 1,407,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,312.50 : 644,760 = 644,760 : x
  2. Step 2: Convert to fraction form
    295,312.50/644,760 = 644,760/x
  3. Step 3: Cross multiply
    295,312.50x = 644,760 × 644,760
  4. Step 4: Simplify right side
    295,312.50x = 415,715,457,600
  5. Step 5: Solve for x
    x = 415,715,457,600/295,312.50
  6. Step 6: Final answer
    x = 1,407,713.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.