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Finding the Third Proportional to 137,076 and 317,312

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Solution

The third proportional to 137,076 and 317,312 is: 734,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076 : 317,312 = 317,312 : x
  2. Step 2: Convert to fraction form
    137,076/317,312 = 317,312/x
  3. Step 3: Cross multiply
    137,076x = 317,312 × 317,312
  4. Step 4: Simplify right side
    137,076x = 100,686,905,344
  5. Step 5: Solve for x
    x = 100,686,905,344/137,076
  6. Step 6: Final answer
    x = 734,533.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.