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Finding the Third Proportional to 186,430,744.13 and 280,424,470.50

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Solution

The third proportional to 186,430,744.13 and 280,424,470.50 is: 421,807,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,430,744.13 : 280,424,470.50 = 280,424,470.50 : x
  2. Step 2: Convert to fraction form
    186,430,744.13/280,424,470.50 = 280,424,470.50/x
  3. Step 3: Cross multiply
    186,430,744.13x = 280,424,470.50 × 280,424,470.50
  4. Step 4: Simplify right side
    186,430,744.13x = 78,637,883,655,205,376
  5. Step 5: Solve for x
    x = 78,637,883,655,205,376/186,430,744.13
  6. Step 6: Final answer
    x = 421,807,486.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.