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Finding the Third Proportional to 30,178,507 and 47,864,981

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Solution

The third proportional to 30,178,507 and 47,864,981 is: 75,916,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178,507 : 47,864,981 = 47,864,981 : x
  2. Step 2: Convert to fraction form
    30,178,507/47,864,981 = 47,864,981/x
  3. Step 3: Cross multiply
    30,178,507x = 47,864,981 × 47,864,981
  4. Step 4: Simplify right side
    30,178,507x = 2,291,056,406,130,361
  5. Step 5: Solve for x
    x = 2,291,056,406,130,361/30,178,507
  6. Step 6: Final answer
    x = 75,916,824.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.