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Finding the Third Proportional to 624,362 and 934,038

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Solution

The third proportional to 624,362 and 934,038 is: 1,397,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,362 : 934,038 = 934,038 : x
  2. Step 2: Convert to fraction form
    624,362/934,038 = 934,038/x
  3. Step 3: Cross multiply
    624,362x = 934,038 × 934,038
  4. Step 4: Simplify right side
    624,362x = 872,426,985,444
  5. Step 5: Solve for x
    x = 872,426,985,444/624,362
  6. Step 6: Final answer
    x = 1,397,309.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.