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Finding the Third Proportional to 376,946 and 528,287

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Solution

The third proportional to 376,946 and 528,287 is: 740,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,946 : 528,287 = 528,287 : x
  2. Step 2: Convert to fraction form
    376,946/528,287 = 528,287/x
  3. Step 3: Cross multiply
    376,946x = 528,287 × 528,287
  4. Step 4: Simplify right side
    376,946x = 279,087,154,369
  5. Step 5: Solve for x
    x = 279,087,154,369/376,946
  6. Step 6: Final answer
    x = 740,390.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.