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Finding the Third Proportional to 387,201 and 830,433

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Solution

The third proportional to 387,201 and 830,433 is: 1,781,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,201 : 830,433 = 830,433 : x
  2. Step 2: Convert to fraction form
    387,201/830,433 = 830,433/x
  3. Step 3: Cross multiply
    387,201x = 830,433 × 830,433
  4. Step 4: Simplify right side
    387,201x = 689,618,967,489
  5. Step 5: Solve for x
    x = 689,618,967,489/387,201
  6. Step 6: Final answer
    x = 1,781,036.12

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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.