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Finding the Third Proportional to 330,763,872 and 492,920,712

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Solution

The third proportional to 330,763,872 and 492,920,712 is: 734,574,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,763,872 : 492,920,712 = 492,920,712 : x
  2. Step 2: Convert to fraction form
    330,763,872/492,920,712 = 492,920,712/x
  3. Step 3: Cross multiply
    330,763,872x = 492,920,712 × 492,920,712
  4. Step 4: Simplify right side
    330,763,872x = 242,970,828,318,586,944
  5. Step 5: Solve for x
    x = 242,970,828,318,586,944/330,763,872
  6. Step 6: Final answer
    x = 734,574,870.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.