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Finding the Third Proportional to 186,672 and 402,840

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Solution

The third proportional to 186,672 and 402,840 is: 869,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,672 : 402,840 = 402,840 : x
  2. Step 2: Convert to fraction form
    186,672/402,840 = 402,840/x
  3. Step 3: Cross multiply
    186,672x = 402,840 × 402,840
  4. Step 4: Simplify right side
    186,672x = 162,280,065,600
  5. Step 5: Solve for x
    x = 162,280,065,600/186,672
  6. Step 6: Final answer
    x = 869,332.66

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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.