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Finding the Third Proportional to 30,937,080 and 67,823,346

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Solution

The third proportional to 30,937,080 and 67,823,346 is: 148,689,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937,080 : 67,823,346 = 67,823,346 : x
  2. Step 2: Convert to fraction form
    30,937,080/67,823,346 = 67,823,346/x
  3. Step 3: Cross multiply
    30,937,080x = 67,823,346 × 67,823,346
  4. Step 4: Simplify right side
    30,937,080x = 4,600,006,262,635,716
  5. Step 5: Solve for x
    x = 4,600,006,262,635,716/30,937,080
  6. Step 6: Final answer
    x = 148,689,089.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.