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Finding the Third Proportional to 130,006.50 and 278,364

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Solution

The third proportional to 130,006.50 and 278,364 is: 596,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006.50 : 278,364 = 278,364 : x
  2. Step 2: Convert to fraction form
    130,006.50/278,364 = 278,364/x
  3. Step 3: Cross multiply
    130,006.50x = 278,364 × 278,364
  4. Step 4: Simplify right side
    130,006.50x = 77,486,516,496
  5. Step 5: Solve for x
    x = 77,486,516,496/130,006.50
  6. Step 6: Final answer
    x = 596,020.33

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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.