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Finding the Third Proportional to 65,045,916 and 128,446,776

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Solution

The third proportional to 65,045,916 and 128,446,776 is: 253,645,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,045,916 : 128,446,776 = 128,446,776 : x
  2. Step 2: Convert to fraction form
    65,045,916/128,446,776 = 128,446,776/x
  3. Step 3: Cross multiply
    65,045,916x = 128,446,776 × 128,446,776
  4. Step 4: Simplify right side
    65,045,916x = 16,498,574,264,794,176
  5. Step 5: Solve for x
    x = 16,498,574,264,794,176/65,045,916
  6. Step 6: Final answer
    x = 253,645,044.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.