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Finding the Third Proportional to 587,415 and 908,784

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Solution

The third proportional to 587,415 and 908,784 is: 1,405,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,415 : 908,784 = 908,784 : x
  2. Step 2: Convert to fraction form
    587,415/908,784 = 908,784/x
  3. Step 3: Cross multiply
    587,415x = 908,784 × 908,784
  4. Step 4: Simplify right side
    587,415x = 825,888,358,656
  5. Step 5: Solve for x
    x = 825,888,358,656/587,415
  6. Step 6: Final answer
    x = 1,405,970.84

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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.