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Finding the Third Proportional to 387,302 and 835,780

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Solution

The third proportional to 387,302 and 835,780 is: 1,803,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,302 : 835,780 = 835,780 : x
  2. Step 2: Convert to fraction form
    387,302/835,780 = 835,780/x
  3. Step 3: Cross multiply
    387,302x = 835,780 × 835,780
  4. Step 4: Simplify right side
    387,302x = 698,528,208,400
  5. Step 5: Solve for x
    x = 698,528,208,400/387,302
  6. Step 6: Final answer
    x = 1,803,575.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.