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Finding the Third Proportional to 648,000 and 1,413,913.50

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Solution

The third proportional to 648,000 and 1,413,913.50 is: 3,085,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,000 : 1,413,913.50 = 1,413,913.50 : x
  2. Step 2: Convert to fraction form
    648,000/1,413,913.50 = 1,413,913.50/x
  3. Step 3: Cross multiply
    648,000x = 1,413,913.50 × 1,413,913.50
  4. Step 4: Simplify right side
    648,000x = 1,999,151,385,482.25
  5. Step 5: Solve for x
    x = 1,999,151,385,482.25/648,000
  6. Step 6: Final answer
    x = 3,085,110.16

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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.