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Finding the Third Proportional to 646,545.38 and 1,385,920.13

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Solution

The third proportional to 646,545.38 and 1,385,920.13 is: 2,970,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,545.38 : 1,385,920.13 = 1,385,920.13 : x
  2. Step 2: Convert to fraction form
    646,545.38/1,385,920.13 = 1,385,920.13/x
  3. Step 3: Cross multiply
    646,545.38x = 1,385,920.13 × 1,385,920.13
  4. Step 4: Simplify right side
    646,545.38x = 1,920,774,592,880.02
  5. Step 5: Solve for x
    x = 1,920,774,592,880.02/646,545.38
  6. Step 6: Final answer
    x = 2,970,827.21

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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.