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Finding the Third Proportional to 387,346 and 830,724

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Solution

The third proportional to 387,346 and 830,724 is: 1,781,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,346 : 830,724 = 830,724 : x
  2. Step 2: Convert to fraction form
    387,346/830,724 = 830,724/x
  3. Step 3: Cross multiply
    387,346x = 830,724 × 830,724
  4. Step 4: Simplify right side
    387,346x = 690,102,364,176
  5. Step 5: Solve for x
    x = 690,102,364,176/387,346
  6. Step 6: Final answer
    x = 1,781,617.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.