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Finding the Third Proportional to 640,312 and 927,408

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Solution

The third proportional to 640,312 and 927,408 is: 1,343,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,312 : 927,408 = 927,408 : x
  2. Step 2: Convert to fraction form
    640,312/927,408 = 927,408/x
  3. Step 3: Cross multiply
    640,312x = 927,408 × 927,408
  4. Step 4: Simplify right side
    640,312x = 860,085,598,464
  5. Step 5: Solve for x
    x = 860,085,598,464/640,312
  6. Step 6: Final answer
    x = 1,343,228.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.