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Finding the Third Proportional to 30,897,423 and 45,400,257

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Solution

The third proportional to 30,897,423 and 45,400,257 is: 66,710,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897,423 : 45,400,257 = 45,400,257 : x
  2. Step 2: Convert to fraction form
    30,897,423/45,400,257 = 45,400,257/x
  3. Step 3: Cross multiply
    30,897,423x = 45,400,257 × 45,400,257
  4. Step 4: Simplify right side
    30,897,423x = 2,061,183,335,666,049
  5. Step 5: Solve for x
    x = 2,061,183,335,666,049/30,897,423
  6. Step 6: Final answer
    x = 66,710,525.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.