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Finding the Third Proportional to 319,668.75 and 477,316.13

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Solution

The third proportional to 319,668.75 and 477,316.13 is: 712,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,668.75 : 477,316.13 = 477,316.13 : x
  2. Step 2: Convert to fraction form
    319,668.75/477,316.13 = 477,316.13/x
  3. Step 3: Cross multiply
    319,668.75x = 477,316.13 × 477,316.13
  4. Step 4: Simplify right side
    319,668.75x = 227,830,683,185.02
  5. Step 5: Solve for x
    x = 227,830,683,185.02/319,668.75
  6. Step 6: Final answer
    x = 712,708.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.