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Finding the Third Proportional to 585,432 and 903,780

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Solution

The third proportional to 585,432 and 903,780 is: 1,395,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,432 : 903,780 = 903,780 : x
  2. Step 2: Convert to fraction form
    585,432/903,780 = 903,780/x
  3. Step 3: Cross multiply
    585,432x = 903,780 × 903,780
  4. Step 4: Simplify right side
    585,432x = 816,818,288,400
  5. Step 5: Solve for x
    x = 816,818,288,400/585,432
  6. Step 6: Final answer
    x = 1,395,240.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.