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Finding the Third Proportional to 421,602 and 913,746

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Solution

The third proportional to 421,602 and 913,746 is: 1,980,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,602 : 913,746 = 913,746 : x
  2. Step 2: Convert to fraction form
    421,602/913,746 = 913,746/x
  3. Step 3: Cross multiply
    421,602x = 913,746 × 913,746
  4. Step 4: Simplify right side
    421,602x = 834,931,752,516
  5. Step 5: Solve for x
    x = 834,931,752,516/421,602
  6. Step 6: Final answer
    x = 1,980,379.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.