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Finding the Third Proportional to 328,572 and 706,281

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Solution

The third proportional to 328,572 and 706,281 is: 1,518,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,572 : 706,281 = 706,281 : x
  2. Step 2: Convert to fraction form
    328,572/706,281 = 706,281/x
  3. Step 3: Cross multiply
    328,572x = 706,281 × 706,281
  4. Step 4: Simplify right side
    328,572x = 498,832,850,961
  5. Step 5: Solve for x
    x = 498,832,850,961/328,572
  6. Step 6: Final answer
    x = 1,518,184.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.