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Finding the Third Proportional to 421,139,472 and 908,866,807.50

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Solution

The third proportional to 421,139,472 and 908,866,807.50 is: 1,961,437,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,139,472 : 908,866,807.50 = 908,866,807.50 : x
  2. Step 2: Convert to fraction form
    421,139,472/908,866,807.50 = 908,866,807.50/x
  3. Step 3: Cross multiply
    421,139,472x = 908,866,807.50 × 908,866,807.50
  4. Step 4: Simplify right side
    421,139,472x = 826,038,873,775,242,112
  5. Step 5: Solve for x
    x = 826,038,873,775,242,112/421,139,472
  6. Step 6: Final answer
    x = 1,961,437,786.52

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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.