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Finding the Third Proportional to 305,440 and 506,144

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Solution

The third proportional to 305,440 and 506,144 is: 838,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,440 : 506,144 = 506,144 : x
  2. Step 2: Convert to fraction form
    305,440/506,144 = 506,144/x
  3. Step 3: Cross multiply
    305,440x = 506,144 × 506,144
  4. Step 4: Simplify right side
    305,440x = 256,181,748,736
  5. Step 5: Solve for x
    x = 256,181,748,736/305,440
  6. Step 6: Final answer
    x = 838,730.19

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.