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Finding the Third Proportional to 610,840 and 932,056

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Solution

The third proportional to 610,840 and 932,056 is: 1,422,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,840 : 932,056 = 932,056 : x
  2. Step 2: Convert to fraction form
    610,840/932,056 = 932,056/x
  3. Step 3: Cross multiply
    610,840x = 932,056 × 932,056
  4. Step 4: Simplify right side
    610,840x = 868,728,387,136
  5. Step 5: Solve for x
    x = 868,728,387,136/610,840
  6. Step 6: Final answer
    x = 1,422,186.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.