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Finding the Third Proportional to 387,452 and 581,574

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Solution

The third proportional to 387,452 and 581,574 is: 872,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,452 : 581,574 = 581,574 : x
  2. Step 2: Convert to fraction form
    387,452/581,574 = 581,574/x
  3. Step 3: Cross multiply
    387,452x = 581,574 × 581,574
  4. Step 4: Simplify right side
    387,452x = 338,228,317,476
  5. Step 5: Solve for x
    x = 338,228,317,476/387,452
  6. Step 6: Final answer
    x = 872,955.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.