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Finding the Third Proportional to 461,410 and 988,428

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Solution

The third proportional to 461,410 and 988,428 is: 2,117,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,410 : 988,428 = 988,428 : x
  2. Step 2: Convert to fraction form
    461,410/988,428 = 988,428/x
  3. Step 3: Cross multiply
    461,410x = 988,428 × 988,428
  4. Step 4: Simplify right side
    461,410x = 976,989,911,184
  5. Step 5: Solve for x
    x = 976,989,911,184/461,410
  6. Step 6: Final answer
    x = 2,117,400.82

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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.