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Finding the Third Proportional to 387,187 and 830,423

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Solution

The third proportional to 387,187 and 830,423 is: 1,781,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,187 : 830,423 = 830,423 : x
  2. Step 2: Convert to fraction form
    387,187/830,423 = 830,423/x
  3. Step 3: Cross multiply
    387,187x = 830,423 × 830,423
  4. Step 4: Simplify right side
    387,187x = 689,602,358,929
  5. Step 5: Solve for x
    x = 689,602,358,929/387,187
  6. Step 6: Final answer
    x = 1,781,057.63

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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.