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Finding the Third Proportional to 186,428 and 290,685

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Solution

The third proportional to 186,428 and 290,685 is: 453,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,428 : 290,685 = 290,685 : x
  2. Step 2: Convert to fraction form
    186,428/290,685 = 290,685/x
  3. Step 3: Cross multiply
    186,428x = 290,685 × 290,685
  4. Step 4: Simplify right side
    186,428x = 84,497,769,225
  5. Step 5: Solve for x
    x = 84,497,769,225/186,428
  6. Step 6: Final answer
    x = 453,246.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.