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Finding the Third Proportional to 153,502.50 and 322,911

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Solution

The third proportional to 153,502.50 and 322,911 is: 679,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,502.50 : 322,911 = 322,911 : x
  2. Step 2: Convert to fraction form
    153,502.50/322,911 = 322,911/x
  3. Step 3: Cross multiply
    153,502.50x = 322,911 × 322,911
  4. Step 4: Simplify right side
    153,502.50x = 104,271,513,921
  5. Step 5: Solve for x
    x = 104,271,513,921/153,502.50
  6. Step 6: Final answer
    x = 679,282.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.