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Finding the Third Proportional to 306,312 and 448,800

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Solution

The third proportional to 306,312 and 448,800 is: 657,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,312 : 448,800 = 448,800 : x
  2. Step 2: Convert to fraction form
    306,312/448,800 = 448,800/x
  3. Step 3: Cross multiply
    306,312x = 448,800 × 448,800
  4. Step 4: Simplify right side
    306,312x = 201,421,440,000
  5. Step 5: Solve for x
    x = 201,421,440,000/306,312
  6. Step 6: Final answer
    x = 657,569.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.