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Finding the Third Proportional to 710,378 and 1,521,520

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Solution

The third proportional to 710,378 and 1,521,520 is: 3,258,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,378 : 1,521,520 = 1,521,520 : x
  2. Step 2: Convert to fraction form
    710,378/1,521,520 = 1,521,520/x
  3. Step 3: Cross multiply
    710,378x = 1,521,520 × 1,521,520
  4. Step 4: Simplify right side
    710,378x = 2,315,023,110,400
  5. Step 5: Solve for x
    x = 2,315,023,110,400/710,378
  6. Step 6: Final answer
    x = 3,258,860.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.