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Finding the Third Proportional to 281,528 and 424,723

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Solution

The third proportional to 281,528 and 424,723 is: 640,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,528 : 424,723 = 424,723 : x
  2. Step 2: Convert to fraction form
    281,528/424,723 = 424,723/x
  3. Step 3: Cross multiply
    281,528x = 424,723 × 424,723
  4. Step 4: Simplify right side
    281,528x = 180,389,626,729
  5. Step 5: Solve for x
    x = 180,389,626,729/281,528
  6. Step 6: Final answer
    x = 640,751.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.