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Finding the Third Proportional to 186,470 and 402,424

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Solution

The third proportional to 186,470 and 402,424 is: 868,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,470 : 402,424 = 402,424 : x
  2. Step 2: Convert to fraction form
    186,470/402,424 = 402,424/x
  3. Step 3: Cross multiply
    186,470x = 402,424 × 402,424
  4. Step 4: Simplify right side
    186,470x = 161,945,075,776
  5. Step 5: Solve for x
    x = 161,945,075,776/186,470
  6. Step 6: Final answer
    x = 868,477.91

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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.