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Finding the Third Proportional to 872,732 and 1,851,106

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Solution

The third proportional to 872,732 and 1,851,106 is: 3,926,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,732 : 1,851,106 = 1,851,106 : x
  2. Step 2: Convert to fraction form
    872,732/1,851,106 = 1,851,106/x
  3. Step 3: Cross multiply
    872,732x = 1,851,106 × 1,851,106
  4. Step 4: Simplify right side
    872,732x = 3,426,593,423,236
  5. Step 5: Solve for x
    x = 3,426,593,423,236/872,732
  6. Step 6: Final answer
    x = 3,926,283.70

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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.