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Finding the Third Proportional to 66,306,724 and 139,484,583

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Solution

The third proportional to 66,306,724 and 139,484,583 is: 293,423,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,306,724 : 139,484,583 = 139,484,583 : x
  2. Step 2: Convert to fraction form
    66,306,724/139,484,583 = 139,484,583/x
  3. Step 3: Cross multiply
    66,306,724x = 139,484,583 × 139,484,583
  4. Step 4: Simplify right side
    66,306,724x = 19,455,948,894,683,888
  5. Step 5: Solve for x
    x = 19,455,948,894,683,888/66,306,724
  6. Step 6: Final answer
    x = 293,423,467.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.