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Finding the Third Proportional to 292,981 and 627,435

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Solution

The third proportional to 292,981 and 627,435 is: 1,343,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,981 : 627,435 = 627,435 : x
  2. Step 2: Convert to fraction form
    292,981/627,435 = 627,435/x
  3. Step 3: Cross multiply
    292,981x = 627,435 × 627,435
  4. Step 4: Simplify right side
    292,981x = 393,674,679,225
  5. Step 5: Solve for x
    x = 393,674,679,225/292,981
  6. Step 6: Final answer
    x = 1,343,686.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.