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Finding the Third Proportional to 438,046 and 640,438

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Solution

The third proportional to 438,046 and 640,438 is: 936,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,046 : 640,438 = 640,438 : x
  2. Step 2: Convert to fraction form
    438,046/640,438 = 640,438/x
  3. Step 3: Cross multiply
    438,046x = 640,438 × 640,438
  4. Step 4: Simplify right side
    438,046x = 410,160,831,844
  5. Step 5: Solve for x
    x = 410,160,831,844/438,046
  6. Step 6: Final answer
    x = 936,341.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.