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Finding the Third Proportional to 127,926.69 and 278,547.77

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Solution

The third proportional to 127,926.69 and 278,547.77 is: 606,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,926.69 : 278,547.77 = 278,547.77 : x
  2. Step 2: Convert to fraction form
    127,926.69/278,547.77 = 278,547.77/x
  3. Step 3: Cross multiply
    127,926.69x = 278,547.77 × 278,547.77
  4. Step 4: Simplify right side
    127,926.69x = 77,588,858,822.75
  5. Step 5: Solve for x
    x = 77,588,858,822.75/127,926.69
  6. Step 6: Final answer
    x = 606,510.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.