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Finding the Third Proportional to 319,744 and 469,248

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Solution

The third proportional to 319,744 and 469,248 is: 688,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,744 : 469,248 = 469,248 : x
  2. Step 2: Convert to fraction form
    319,744/469,248 = 469,248/x
  3. Step 3: Cross multiply
    319,744x = 469,248 × 469,248
  4. Step 4: Simplify right side
    319,744x = 220,193,685,504
  5. Step 5: Solve for x
    x = 220,193,685,504/319,744
  6. Step 6: Final answer
    x = 688,656.19

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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.