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Finding the Third Proportional to 390,004 and 840,680

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Solution

The third proportional to 390,004 and 840,680 is: 1,812,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,004 : 840,680 = 840,680 : x
  2. Step 2: Convert to fraction form
    390,004/840,680 = 840,680/x
  3. Step 3: Cross multiply
    390,004x = 840,680 × 840,680
  4. Step 4: Simplify right side
    390,004x = 706,742,862,400
  5. Step 5: Solve for x
    x = 706,742,862,400/390,004
  6. Step 6: Final answer
    x = 1,812,142.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.