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Finding the Third Proportional to 290,876,152 and 439,330,624

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Solution

The third proportional to 290,876,152 and 439,330,624 is: 663,551,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,876,152 : 439,330,624 = 439,330,624 : x
  2. Step 2: Convert to fraction form
    290,876,152/439,330,624 = 439,330,624/x
  3. Step 3: Cross multiply
    290,876,152x = 439,330,624 × 439,330,624
  4. Step 4: Simplify right side
    290,876,152x = 193,011,397,184,229,376
  5. Step 5: Solve for x
    x = 193,011,397,184,229,376/290,876,152
  6. Step 6: Final answer
    x = 663,551,810.13

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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.