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Finding the Third Proportional to 369,116 and 781,972

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Solution

The third proportional to 369,116 and 781,972 is: 1,656,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,116 : 781,972 = 781,972 : x
  2. Step 2: Convert to fraction form
    369,116/781,972 = 781,972/x
  3. Step 3: Cross multiply
    369,116x = 781,972 × 781,972
  4. Step 4: Simplify right side
    369,116x = 611,480,208,784
  5. Step 5: Solve for x
    x = 611,480,208,784/369,116
  6. Step 6: Final answer
    x = 1,656,607.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.