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Finding the Third Proportional to 344,478 and 506,510

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Solution

The third proportional to 344,478 and 506,510 is: 744,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,478 : 506,510 = 506,510 : x
  2. Step 2: Convert to fraction form
    344,478/506,510 = 506,510/x
  3. Step 3: Cross multiply
    344,478x = 506,510 × 506,510
  4. Step 4: Simplify right side
    344,478x = 256,552,380,100
  5. Step 5: Solve for x
    x = 256,552,380,100/344,478
  6. Step 6: Final answer
    x = 744,756.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.