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Finding the Third Proportional to 4,654,470 and 9,872,364

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Solution

The third proportional to 4,654,470 and 9,872,364 is: 20,939,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654,470 : 9,872,364 = 9,872,364 : x
  2. Step 2: Convert to fraction form
    4,654,470/9,872,364 = 9,872,364/x
  3. Step 3: Cross multiply
    4,654,470x = 9,872,364 × 9,872,364
  4. Step 4: Simplify right side
    4,654,470x = 97,463,570,948,496
  5. Step 5: Solve for x
    x = 97,463,570,948,496/4,654,470
  6. Step 6: Final answer
    x = 20,939,778.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.