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Finding the Third Proportional to 186,430 and 290,688

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Solution

The third proportional to 186,430 and 290,688 is: 453,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,430 : 290,688 = 290,688 : x
  2. Step 2: Convert to fraction form
    186,430/290,688 = 290,688/x
  3. Step 3: Cross multiply
    186,430x = 290,688 × 290,688
  4. Step 4: Simplify right side
    186,430x = 84,499,513,344
  5. Step 5: Solve for x
    x = 84,499,513,344/186,430
  6. Step 6: Final answer
    x = 453,250.62

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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.