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Finding the Third Proportional to 128,528 and 278,510

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Solution

The third proportional to 128,528 and 278,510 is: 603,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,528 : 278,510 = 278,510 : x
  2. Step 2: Convert to fraction form
    128,528/278,510 = 278,510/x
  3. Step 3: Cross multiply
    128,528x = 278,510 × 278,510
  4. Step 4: Simplify right side
    128,528x = 77,567,820,100
  5. Step 5: Solve for x
    x = 77,567,820,100/128,528
  6. Step 6: Final answer
    x = 603,509.12

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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.