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Finding the Third Proportional to 198,634,693.50 and 310,021,561.50

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Solution

The third proportional to 198,634,693.50 and 310,021,561.50 is: 483,869,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,634,693.50 : 310,021,561.50 = 310,021,561.50 : x
  2. Step 2: Convert to fraction form
    198,634,693.50/310,021,561.50 = 310,021,561.50/x
  3. Step 3: Cross multiply
    198,634,693.50x = 310,021,561.50 × 310,021,561.50
  4. Step 4: Simplify right side
    198,634,693.50x = 96,113,368,594,898,288
  5. Step 5: Solve for x
    x = 96,113,368,594,898,288/198,634,693.50
  6. Step 6: Final answer
    x = 483,869,997.24

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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.