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Finding the Third Proportional to 421,732,912.50 and 916,005,051

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Solution

The third proportional to 421,732,912.50 and 916,005,051 is: 1,989,565,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,732,912.50 : 916,005,051 = 916,005,051 : x
  2. Step 2: Convert to fraction form
    421,732,912.50/916,005,051 = 916,005,051/x
  3. Step 3: Cross multiply
    421,732,912.50x = 916,005,051 × 916,005,051
  4. Step 4: Simplify right side
    421,732,912.50x = 839,065,253,457,512,576
  5. Step 5: Solve for x
    x = 839,065,253,457,512,576/421,732,912.50
  6. Step 6: Final answer
    x = 1,989,565,501.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.