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Finding the Third Proportional to 328,090.50 and 514,005.75

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Solution

The third proportional to 328,090.50 and 514,005.75 is: 805,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,090.50 : 514,005.75 = 514,005.75 : x
  2. Step 2: Convert to fraction form
    328,090.50/514,005.75 = 514,005.75/x
  3. Step 3: Cross multiply
    328,090.50x = 514,005.75 × 514,005.75
  4. Step 4: Simplify right side
    328,090.50x = 264,201,911,033.06
  5. Step 5: Solve for x
    x = 264,201,911,033.06/328,090.50
  6. Step 6: Final answer
    x = 805,271.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.