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Finding the Third Proportional to 121,567.50 and 282,618

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Solution

The third proportional to 121,567.50 and 282,618 is: 657,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567.50 : 282,618 = 282,618 : x
  2. Step 2: Convert to fraction form
    121,567.50/282,618 = 282,618/x
  3. Step 3: Cross multiply
    121,567.50x = 282,618 × 282,618
  4. Step 4: Simplify right side
    121,567.50x = 79,872,933,924
  5. Step 5: Solve for x
    x = 79,872,933,924/121,567.50
  6. Step 6: Final answer
    x = 657,025.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.