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Finding the Third Proportional to 140,938,814 and 205,272,309

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Solution

The third proportional to 140,938,814 and 205,272,309 is: 298,971,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,938,814 : 205,272,309 = 205,272,309 : x
  2. Step 2: Convert to fraction form
    140,938,814/205,272,309 = 205,272,309/x
  3. Step 3: Cross multiply
    140,938,814x = 205,272,309 × 205,272,309
  4. Step 4: Simplify right side
    140,938,814x = 42,136,720,842,191,480
  5. Step 5: Solve for x
    x = 42,136,720,842,191,480/140,938,814
  6. Step 6: Final answer
    x = 298,971,728.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.