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Finding the Third Proportional to 128,526 and 278,506

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Solution

The third proportional to 128,526 and 278,506 is: 603,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,526 : 278,506 = 278,506 : x
  2. Step 2: Convert to fraction form
    128,526/278,506 = 278,506/x
  3. Step 3: Cross multiply
    128,526x = 278,506 × 278,506
  4. Step 4: Simplify right side
    128,526x = 77,565,592,036
  5. Step 5: Solve for x
    x = 77,565,592,036/128,526
  6. Step 6: Final answer
    x = 603,501.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.