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Finding the Third Proportional to 402,603.54 and 877,545.14

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Solution

The third proportional to 402,603.54 and 877,545.14 is: 1,912,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,603.54 : 877,545.14 = 877,545.14 : x
  2. Step 2: Convert to fraction form
    402,603.54/877,545.14 = 877,545.14/x
  3. Step 3: Cross multiply
    402,603.54x = 877,545.14 × 877,545.14
  4. Step 4: Simplify right side
    402,603.54x = 770,085,473,834.55
  5. Step 5: Solve for x
    x = 770,085,473,834.55/402,603.54
  6. Step 6: Final answer
    x = 1,912,763.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.