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Finding the Third Proportional to 153,590 and 330,502

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Solution

The third proportional to 153,590 and 330,502 is: 711,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,590 : 330,502 = 330,502 : x
  2. Step 2: Convert to fraction form
    153,590/330,502 = 330,502/x
  3. Step 3: Cross multiply
    153,590x = 330,502 × 330,502
  4. Step 4: Simplify right side
    153,590x = 109,231,572,004
  5. Step 5: Solve for x
    x = 109,231,572,004/153,590
  6. Step 6: Final answer
    x = 711,189.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.