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Finding the Third Proportional to 711,387 and 1,085,148

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Solution

The third proportional to 711,387 and 1,085,148 is: 1,655,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,387 : 1,085,148 = 1,085,148 : x
  2. Step 2: Convert to fraction form
    711,387/1,085,148 = 1,085,148/x
  3. Step 3: Cross multiply
    711,387x = 1,085,148 × 1,085,148
  4. Step 4: Simplify right side
    711,387x = 1,177,546,181,904
  5. Step 5: Solve for x
    x = 1,177,546,181,904/711,387
  6. Step 6: Final answer
    x = 1,655,282.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.