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Finding the Third Proportional to 103,411,776 and 160,343,520

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Solution

The third proportional to 103,411,776 and 160,343,520 is: 248,618,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411,776 : 160,343,520 = 160,343,520 : x
  2. Step 2: Convert to fraction form
    103,411,776/160,343,520 = 160,343,520/x
  3. Step 3: Cross multiply
    103,411,776x = 160,343,520 × 160,343,520
  4. Step 4: Simplify right side
    103,411,776x = 25,710,044,405,990,400
  5. Step 5: Solve for x
    x = 25,710,044,405,990,400/103,411,776
  6. Step 6: Final answer
    x = 248,618,149.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.