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Finding the Third Proportional to 390,657 and 829,276

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Solution

The third proportional to 390,657 and 829,276 is: 1,760,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,657 : 829,276 = 829,276 : x
  2. Step 2: Convert to fraction form
    390,657/829,276 = 829,276/x
  3. Step 3: Cross multiply
    390,657x = 829,276 × 829,276
  4. Step 4: Simplify right side
    390,657x = 687,698,684,176
  5. Step 5: Solve for x
    x = 687,698,684,176/390,657
  6. Step 6: Final answer
    x = 1,760,364.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.