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Finding the Third Proportional to 201,460,490 and 438,390,188

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Solution

The third proportional to 201,460,490 and 438,390,188 is: 953,963,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,460,490 : 438,390,188 = 438,390,188 : x
  2. Step 2: Convert to fraction form
    201,460,490/438,390,188 = 438,390,188/x
  3. Step 3: Cross multiply
    201,460,490x = 438,390,188 × 438,390,188
  4. Step 4: Simplify right side
    201,460,490x = 192,185,956,934,675,328
  5. Step 5: Solve for x
    x = 192,185,956,934,675,328/201,460,490
  6. Step 6: Final answer
    x = 953,963,513.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.