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Finding the Third Proportional to 294,407 and 655,423

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Solution

The third proportional to 294,407 and 655,423 is: 1,459,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,407 : 655,423 = 655,423 : x
  2. Step 2: Convert to fraction form
    294,407/655,423 = 655,423/x
  3. Step 3: Cross multiply
    294,407x = 655,423 × 655,423
  4. Step 4: Simplify right side
    294,407x = 429,579,308,929
  5. Step 5: Solve for x
    x = 429,579,308,929/294,407
  6. Step 6: Final answer
    x = 1,459,134.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.