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Finding the Third Proportional to 387,196 and 830,417

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Solution

The third proportional to 387,196 and 830,417 is: 1,780,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,196 : 830,417 = 830,417 : x
  2. Step 2: Convert to fraction form
    387,196/830,417 = 830,417/x
  3. Step 3: Cross multiply
    387,196x = 830,417 × 830,417
  4. Step 4: Simplify right side
    387,196x = 689,592,393,889
  5. Step 5: Solve for x
    x = 689,592,393,889/387,196
  6. Step 6: Final answer
    x = 1,780,990.49

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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.