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Finding the Third Proportional to 130,336 and 285,618

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Solution

The third proportional to 130,336 and 285,618 is: 625,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,336 : 285,618 = 285,618 : x
  2. Step 2: Convert to fraction form
    130,336/285,618 = 285,618/x
  3. Step 3: Cross multiply
    130,336x = 285,618 × 285,618
  4. Step 4: Simplify right side
    130,336x = 81,577,641,924
  5. Step 5: Solve for x
    x = 81,577,641,924/130,336
  6. Step 6: Final answer
    x = 625,902.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.