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Finding the Third Proportional to 277,510 and 609,572

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Solution

The third proportional to 277,510 and 609,572 is: 1,338,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510 : 609,572 = 609,572 : x
  2. Step 2: Convert to fraction form
    277,510/609,572 = 609,572/x
  3. Step 3: Cross multiply
    277,510x = 609,572 × 609,572
  4. Step 4: Simplify right side
    277,510x = 371,578,023,184
  5. Step 5: Solve for x
    x = 371,578,023,184/277,510
  6. Step 6: Final answer
    x = 1,338,971.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.