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Finding the Third Proportional to 389,726 and 841,624

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Solution

The third proportional to 389,726 and 841,624 is: 1,817,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,726 : 841,624 = 841,624 : x
  2. Step 2: Convert to fraction form
    389,726/841,624 = 841,624/x
  3. Step 3: Cross multiply
    389,726x = 841,624 × 841,624
  4. Step 4: Simplify right side
    389,726x = 708,330,957,376
  5. Step 5: Solve for x
    x = 708,330,957,376/389,726
  6. Step 6: Final answer
    x = 1,817,510.14

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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.