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Finding the Third Proportional to 142,122,452,706 and 316,021,456,732

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Solution

The third proportional to 142,122,452,706 and 316,021,456,732 is: 702,700,799,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122,452,706 : 316,021,456,732 = 316,021,456,732 : x
  2. Step 2: Convert to fraction form
    142,122,452,706/316,021,456,732 = 316,021,456,732/x
  3. Step 3: Cross multiply
    142,122,452,706x = 316,021,456,732 × 316,021,456,732
  4. Step 4: Simplify right side
    142,122,452,706x = 99,869,561,115,015,343,243,264
  5. Step 5: Solve for x
    x = 99,869,561,115,015,343,243,264/142,122,452,706
  6. Step 6: Final answer
    x = 702,700,799,300.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.