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Finding the Third Proportional to 976,401,098 and 1,473,681,523.50

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Solution

The third proportional to 976,401,098 and 1,473,681,523.50 is: 2,224,226,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,401,098 : 1,473,681,523.50 = 1,473,681,523.50 : x
  2. Step 2: Convert to fraction form
    976,401,098/1,473,681,523.50 = 1,473,681,523.50/x
  3. Step 3: Cross multiply
    976,401,098x = 1,473,681,523.50 × 1,473,681,523.50
  4. Step 4: Simplify right side
    976,401,098x = 2,171,737,232,705,281,024
  5. Step 5: Solve for x
    x = 2,171,737,232,705,281,024/976,401,098
  6. Step 6: Final answer
    x = 2,224,226,536.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.