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Finding the Third Proportional to 306,429 and 506,421

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Solution

The third proportional to 306,429 and 506,421 is: 836,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,429 : 506,421 = 506,421 : x
  2. Step 2: Convert to fraction form
    306,429/506,421 = 506,421/x
  3. Step 3: Cross multiply
    306,429x = 506,421 × 506,421
  4. Step 4: Simplify right side
    306,429x = 256,462,229,241
  5. Step 5: Solve for x
    x = 256,462,229,241/306,429
  6. Step 6: Final answer
    x = 836,938.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.