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Finding the Third Proportional to 328,570 and 706,220

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Solution

The third proportional to 328,570 and 706,220 is: 1,517,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,570 : 706,220 = 706,220 : x
  2. Step 2: Convert to fraction form
    328,570/706,220 = 706,220/x
  3. Step 3: Cross multiply
    328,570x = 706,220 × 706,220
  4. Step 4: Simplify right side
    328,570x = 498,746,688,400
  5. Step 5: Solve for x
    x = 498,746,688,400/328,570
  6. Step 6: Final answer
    x = 1,517,931.30

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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.