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Finding the Third Proportional to 66,248,640 and 144,779,472

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Solution

The third proportional to 66,248,640 and 144,779,472 is: 316,400,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,248,640 : 144,779,472 = 144,779,472 : x
  2. Step 2: Convert to fraction form
    66,248,640/144,779,472 = 144,779,472/x
  3. Step 3: Cross multiply
    66,248,640x = 144,779,472 × 144,779,472
  4. Step 4: Simplify right side
    66,248,640x = 20,961,095,512,598,784
  5. Step 5: Solve for x
    x = 20,961,095,512,598,784/66,248,640
  6. Step 6: Final answer
    x = 316,400,389.69

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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.