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Finding the Third Proportional to 191,971,308 and 309,137,058

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Solution

The third proportional to 191,971,308 and 309,137,058 is: 497,812,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,971,308 : 309,137,058 = 309,137,058 : x
  2. Step 2: Convert to fraction form
    191,971,308/309,137,058 = 309,137,058/x
  3. Step 3: Cross multiply
    191,971,308x = 309,137,058 × 309,137,058
  4. Step 4: Simplify right side
    191,971,308x = 95,565,720,628,895,360
  5. Step 5: Solve for x
    x = 95,565,720,628,895,360/191,971,308
  6. Step 6: Final answer
    x = 497,812,520.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.