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Finding the Third Proportional to 78,003 and 125,618

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Solution

The third proportional to 78,003 and 125,618 is: 202,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003 : 125,618 = 125,618 : x
  2. Step 2: Convert to fraction form
    78,003/125,618 = 125,618/x
  3. Step 3: Cross multiply
    78,003x = 125,618 × 125,618
  4. Step 4: Simplify right side
    78,003x = 15,779,881,924
  5. Step 5: Solve for x
    x = 15,779,881,924/78,003
  6. Step 6: Final answer
    x = 202,298.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.