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Finding the Third Proportional to 10,439,406 and 15,971,125.50

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Solution

The third proportional to 10,439,406 and 15,971,125.50 is: 24,434,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439,406 : 15,971,125.50 = 15,971,125.50 : x
  2. Step 2: Convert to fraction form
    10,439,406/15,971,125.50 = 15,971,125.50/x
  3. Step 3: Cross multiply
    10,439,406x = 15,971,125.50 × 15,971,125.50
  4. Step 4: Simplify right side
    10,439,406x = 255,076,849,736,750.25
  5. Step 5: Solve for x
    x = 255,076,849,736,750.25/10,439,406
  6. Step 6: Final answer
    x = 24,434,038.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.