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Finding the Third Proportional to 402,056 and 845,440

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Solution

The third proportional to 402,056 and 845,440 is: 1,777,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,056 : 845,440 = 845,440 : x
  2. Step 2: Convert to fraction form
    402,056/845,440 = 845,440/x
  3. Step 3: Cross multiply
    402,056x = 845,440 × 845,440
  4. Step 4: Simplify right side
    402,056x = 714,768,793,600
  5. Step 5: Solve for x
    x = 714,768,793,600/402,056
  6. Step 6: Final answer
    x = 1,777,784.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.