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Finding the Third Proportional to 261,875 and 418,409

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Solution

The third proportional to 261,875 and 418,409 is: 668,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,875 : 418,409 = 418,409 : x
  2. Step 2: Convert to fraction form
    261,875/418,409 = 418,409/x
  3. Step 3: Cross multiply
    261,875x = 418,409 × 418,409
  4. Step 4: Simplify right side
    261,875x = 175,066,091,281
  5. Step 5: Solve for x
    x = 175,066,091,281/261,875
  6. Step 6: Final answer
    x = 668,510.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.