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Finding the Third Proportional to 261,628 and 565,082

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Solution

The third proportional to 261,628 and 565,082 is: 1,220,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,628 : 565,082 = 565,082 : x
  2. Step 2: Convert to fraction form
    261,628/565,082 = 565,082/x
  3. Step 3: Cross multiply
    261,628x = 565,082 × 565,082
  4. Step 4: Simplify right side
    261,628x = 319,317,666,724
  5. Step 5: Solve for x
    x = 319,317,666,724/261,628
  6. Step 6: Final answer
    x = 1,220,502.65

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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.