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Finding the Third Proportional to 690,480,136 and 1,478,902,880

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Solution

The third proportional to 690,480,136 and 1,478,902,880 is: 3,167,583,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,480,136 : 1,478,902,880 = 1,478,902,880 : x
  2. Step 2: Convert to fraction form
    690,480,136/1,478,902,880 = 1,478,902,880/x
  3. Step 3: Cross multiply
    690,480,136x = 1,478,902,880 × 1,478,902,880
  4. Step 4: Simplify right side
    690,480,136x = 2,187,153,728,472,294,400
  5. Step 5: Solve for x
    x = 2,187,153,728,472,294,400/690,480,136
  6. Step 6: Final answer
    x = 3,167,583,851.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.