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Finding the Third Proportional to 200,307 and 310,048.50

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Solution

The third proportional to 200,307 and 310,048.50 is: 479,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,307 : 310,048.50 = 310,048.50 : x
  2. Step 2: Convert to fraction form
    200,307/310,048.50 = 310,048.50/x
  3. Step 3: Cross multiply
    200,307x = 310,048.50 × 310,048.50
  4. Step 4: Simplify right side
    200,307x = 96,130,072,352.25
  5. Step 5: Solve for x
    x = 96,130,072,352.25/200,307
  6. Step 6: Final answer
    x = 479,913.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.