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Finding the Third Proportional to 295,421 and 458,306

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Solution

The third proportional to 295,421 and 458,306 is: 711,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,421 : 458,306 = 458,306 : x
  2. Step 2: Convert to fraction form
    295,421/458,306 = 458,306/x
  3. Step 3: Cross multiply
    295,421x = 458,306 × 458,306
  4. Step 4: Simplify right side
    295,421x = 210,044,389,636
  5. Step 5: Solve for x
    x = 210,044,389,636/295,421
  6. Step 6: Final answer
    x = 711,000.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.