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Finding the Third Proportional to 431,749,962.88 and 663,220,762.75

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Solution

The third proportional to 431,749,962.88 and 663,220,762.75 is: 1,018,788,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,749,962.88 : 663,220,762.75 = 663,220,762.75 : x
  2. Step 2: Convert to fraction form
    431,749,962.88/663,220,762.75 = 663,220,762.75/x
  3. Step 3: Cross multiply
    431,749,962.88x = 663,220,762.75 × 663,220,762.75
  4. Step 4: Simplify right side
    431,749,962.88x = 439,861,780,142,691,776
  5. Step 5: Solve for x
    x = 439,861,780,142,691,776/431,749,962.88
  6. Step 6: Final answer
    x = 1,018,788,229.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.