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Finding the Third Proportional to 932,481 and 1,416,946.50

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Solution

The third proportional to 932,481 and 1,416,946.50 is: 2,153,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,481 : 1,416,946.50 = 1,416,946.50 : x
  2. Step 2: Convert to fraction form
    932,481/1,416,946.50 = 1,416,946.50/x
  3. Step 3: Cross multiply
    932,481x = 1,416,946.50 × 1,416,946.50
  4. Step 4: Simplify right side
    932,481x = 2,007,737,383,862.25
  5. Step 5: Solve for x
    x = 2,007,737,383,862.25/932,481
  6. Step 6: Final answer
    x = 2,153,113.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.