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Finding the Third Proportional to 345,820 and 506,262

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Solution

The third proportional to 345,820 and 506,262 is: 741,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,820 : 506,262 = 506,262 : x
  2. Step 2: Convert to fraction form
    345,820/506,262 = 506,262/x
  3. Step 3: Cross multiply
    345,820x = 506,262 × 506,262
  4. Step 4: Simplify right side
    345,820x = 256,301,212,644
  5. Step 5: Solve for x
    x = 256,301,212,644/345,820
  6. Step 6: Final answer
    x = 741,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.