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Finding the Third Proportional to 506,557 and 770,280

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Solution

The third proportional to 506,557 and 770,280 is: 1,171,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,557 : 770,280 = 770,280 : x
  2. Step 2: Convert to fraction form
    506,557/770,280 = 770,280/x
  3. Step 3: Cross multiply
    506,557x = 770,280 × 770,280
  4. Step 4: Simplify right side
    506,557x = 593,331,278,400
  5. Step 5: Solve for x
    x = 593,331,278,400/506,557
  6. Step 6: Final answer
    x = 1,171,302.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.