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Finding the Third Proportional to 288,069,466.50 and 630,778,941

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Solution

The third proportional to 288,069,466.50 and 630,778,941 is: 1,381,201,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,069,466.50 : 630,778,941 = 630,778,941 : x
  2. Step 2: Convert to fraction form
    288,069,466.50/630,778,941 = 630,778,941/x
  3. Step 3: Cross multiply
    288,069,466.50x = 630,778,941 × 630,778,941
  4. Step 4: Simplify right side
    288,069,466.50x = 397,882,072,409,081,472
  5. Step 5: Solve for x
    x = 397,882,072,409,081,472/288,069,466.50
  6. Step 6: Final answer
    x = 1,381,201,823.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.