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Finding the Third Proportional to 389,056 and 570,944

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Solution

The third proportional to 389,056 and 570,944 is: 837,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,056 : 570,944 = 570,944 : x
  2. Step 2: Convert to fraction form
    389,056/570,944 = 570,944/x
  3. Step 3: Cross multiply
    389,056x = 570,944 × 570,944
  4. Step 4: Simplify right side
    389,056x = 325,977,051,136
  5. Step 5: Solve for x
    x = 325,977,051,136/389,056
  6. Step 6: Final answer
    x = 837,866.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.