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Finding the Third Proportional to 153,480 and 325,209

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Solution

The third proportional to 153,480 and 325,209 is: 689,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,480 : 325,209 = 325,209 : x
  2. Step 2: Convert to fraction form
    153,480/325,209 = 325,209/x
  3. Step 3: Cross multiply
    153,480x = 325,209 × 325,209
  4. Step 4: Simplify right side
    153,480x = 105,760,893,681
  5. Step 5: Solve for x
    x = 105,760,893,681/153,480
  6. Step 6: Final answer
    x = 689,085.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.