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Finding the Third Proportional to 390,140 and 838,480

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Solution

The third proportional to 390,140 and 838,480 is: 1,802,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,140 : 838,480 = 838,480 : x
  2. Step 2: Convert to fraction form
    390,140/838,480 = 838,480/x
  3. Step 3: Cross multiply
    390,140x = 838,480 × 838,480
  4. Step 4: Simplify right side
    390,140x = 703,048,710,400
  5. Step 5: Solve for x
    x = 703,048,710,400/390,140
  6. Step 6: Final answer
    x = 1,802,042.11

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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.