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Finding the Third Proportional to 294,312 and 639,840

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Solution

The third proportional to 294,312 and 639,840 is: 1,391,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,312 : 639,840 = 639,840 : x
  2. Step 2: Convert to fraction form
    294,312/639,840 = 639,840/x
  3. Step 3: Cross multiply
    294,312x = 639,840 × 639,840
  4. Step 4: Simplify right side
    294,312x = 409,395,225,600
  5. Step 5: Solve for x
    x = 409,395,225,600/294,312
  6. Step 6: Final answer
    x = 1,391,024.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.