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Finding the Third Proportional to 145,559 and 231,461

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Solution

The third proportional to 145,559 and 231,461 is: 368,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,559 : 231,461 = 231,461 : x
  2. Step 2: Convert to fraction form
    145,559/231,461 = 231,461/x
  3. Step 3: Cross multiply
    145,559x = 231,461 × 231,461
  4. Step 4: Simplify right side
    145,559x = 53,574,194,521
  5. Step 5: Solve for x
    x = 53,574,194,521/145,559
  6. Step 6: Final answer
    x = 368,058.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.