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Finding the Third Proportional to 421,454 and 912,892

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Solution

The third proportional to 421,454 and 912,892 is: 1,977,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,454 : 912,892 = 912,892 : x
  2. Step 2: Convert to fraction form
    421,454/912,892 = 912,892/x
  3. Step 3: Cross multiply
    421,454x = 912,892 × 912,892
  4. Step 4: Simplify right side
    421,454x = 833,371,803,664
  5. Step 5: Solve for x
    x = 833,371,803,664/421,454
  6. Step 6: Final answer
    x = 1,977,373.10

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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.