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Finding the Third Proportional to 317,386.50 and 491,754

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Solution

The third proportional to 317,386.50 and 491,754 is: 761,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,386.50 : 491,754 = 491,754 : x
  2. Step 2: Convert to fraction form
    317,386.50/491,754 = 491,754/x
  3. Step 3: Cross multiply
    317,386.50x = 491,754 × 491,754
  4. Step 4: Simplify right side
    317,386.50x = 241,821,996,516
  5. Step 5: Solve for x
    x = 241,821,996,516/317,386.50
  6. Step 6: Final answer
    x = 761,916.45

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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.