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Finding the Third Proportional to 152,205 and 242,403

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Solution

The third proportional to 152,205 and 242,403 is: 386,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,205 : 242,403 = 242,403 : x
  2. Step 2: Convert to fraction form
    152,205/242,403 = 242,403/x
  3. Step 3: Cross multiply
    152,205x = 242,403 × 242,403
  4. Step 4: Simplify right side
    152,205x = 58,759,214,409
  5. Step 5: Solve for x
    x = 58,759,214,409/152,205
  6. Step 6: Final answer
    x = 386,053.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.